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Finding the Fourth Proportional to 10,547.67, 15,829.29 and 5,001.03

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Solution

The fourth proportional to 10,547.67, 15,829.29 and 5,001.03 is: 7,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.67 : 15,829.29 = 5,001.03 : x
  2. Step 2: Convert to fraction form
    10,547.67/15,829.29 = 5,001.03/x
  3. Step 3: Cross multiply
    10,547.67x = 15,829.29 × 5,001.03
  4. Step 4: Simplify right side
    10,547.67x = 79,162,754.17
  5. Step 5: Solve for x
    x = 79,162,754.17/10,547.67
  6. Step 6: Final answer
    x = 7,505.24

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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.