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Finding the Fourth Proportional to 10,513.68, 15,746.04 and 5,307

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Solution

The fourth proportional to 10,513.68, 15,746.04 and 5,307 is: 7,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.68 : 15,746.04 = 5,307 : x
  2. Step 2: Convert to fraction form
    10,513.68/15,746.04 = 5,307/x
  3. Step 3: Cross multiply
    10,513.68x = 15,746.04 × 5,307
  4. Step 4: Simplify right side
    10,513.68x = 83,564,234.28
  5. Step 5: Solve for x
    x = 83,564,234.28/10,513.68
  6. Step 6: Final answer
    x = 7,948.14

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