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Finding the Fourth Proportional to 7,984,725.40, 11,978,837.70 and 2,592,458.20

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Solution

The fourth proportional to 7,984,725.40, 11,978,837.70 and 2,592,458.20 is: 3,889,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984,725.40 : 11,978,837.70 = 2,592,458.20 : x
  2. Step 2: Convert to fraction form
    7,984,725.40/11,978,837.70 = 2,592,458.20/x
  3. Step 3: Cross multiply
    7,984,725.40x = 11,978,837.70 × 2,592,458.20
  4. Step 4: Simplify right side
    7,984,725.40x = 31,054,636,021,834.14
  5. Step 5: Solve for x
    x = 31,054,636,021,834.14/7,984,725.40
  6. Step 6: Final answer
    x = 3,889,255.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.