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Finding the Fourth Proportional to 10,339.14, 15,508.68 and 3,043.14

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Solution

The fourth proportional to 10,339.14, 15,508.68 and 3,043.14 is: 4,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.14 : 15,508.68 = 3,043.14 : x
  2. Step 2: Convert to fraction form
    10,339.14/15,508.68 = 3,043.14/x
  3. Step 3: Cross multiply
    10,339.14x = 15,508.68 × 3,043.14
  4. Step 4: Simplify right side
    10,339.14x = 47,195,084.46
  5. Step 5: Solve for x
    x = 47,195,084.46/10,339.14
  6. Step 6: Final answer
    x = 4,564.70

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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.