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Finding the Fourth Proportional to 10,338.93, 15,508.42 and 2,547.74

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Solution

The fourth proportional to 10,338.93, 15,508.42 and 2,547.74 is: 3,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.93 : 15,508.42 = 2,547.74 : x
  2. Step 2: Convert to fraction form
    10,338.93/15,508.42 = 2,547.74/x
  3. Step 3: Cross multiply
    10,338.93x = 15,508.42 × 2,547.74
  4. Step 4: Simplify right side
    10,338.93x = 39,511,421.97
  5. Step 5: Solve for x
    x = 39,511,421.97/10,338.93
  6. Step 6: Final answer
    x = 3,821.62

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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.