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Finding the Fourth Proportional to 7,685.28, 10,602 and 5,031.52

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Solution

The fourth proportional to 7,685.28, 10,602 and 5,031.52 is: 6,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.28 : 10,602 = 5,031.52 : x
  2. Step 2: Convert to fraction form
    7,685.28/10,602 = 5,031.52/x
  3. Step 3: Cross multiply
    7,685.28x = 10,602 × 5,031.52
  4. Step 4: Simplify right side
    7,685.28x = 53,344,175.04
  5. Step 5: Solve for x
    x = 53,344,175.04/7,685.28
  6. Step 6: Final answer
    x = 6,941.08

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