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Finding the Fourth Proportional to 7,087.78, 10,628.40 and 2,156.32

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Solution

The fourth proportional to 7,087.78, 10,628.40 and 2,156.32 is: 3,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.78 : 10,628.40 = 2,156.32 : x
  2. Step 2: Convert to fraction form
    7,087.78/10,628.40 = 2,156.32/x
  3. Step 3: Cross multiply
    7,087.78x = 10,628.40 × 2,156.32
  4. Step 4: Simplify right side
    7,087.78x = 22,918,231.49
  5. Step 5: Solve for x
    x = 22,918,231.49/7,087.78
  6. Step 6: Final answer
    x = 3,233.49

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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.