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Finding the Fourth Proportional to 7,566.32, 10,435.56 and 5,207.60

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Solution

The fourth proportional to 7,566.32, 10,435.56 and 5,207.60 is: 7,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.32 : 10,435.56 = 5,207.60 : x
  2. Step 2: Convert to fraction form
    7,566.32/10,435.56 = 5,207.60/x
  3. Step 3: Cross multiply
    7,566.32x = 10,435.56 × 5,207.60
  4. Step 4: Simplify right side
    7,566.32x = 54,344,222.26
  5. Step 5: Solve for x
    x = 54,344,222.26/7,566.32
  6. Step 6: Final answer
    x = 7,182.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.