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Finding the Fourth Proportional to 10,071.59, 15,107.39 and 3,497.76

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Solution

The fourth proportional to 10,071.59, 15,107.39 and 3,497.76 is: 5,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.59 : 15,107.39 = 3,497.76 : x
  2. Step 2: Convert to fraction form
    10,071.59/15,107.39 = 3,497.76/x
  3. Step 3: Cross multiply
    10,071.59x = 15,107.39 × 3,497.76
  4. Step 4: Simplify right side
    10,071.59x = 52,842,033.19
  5. Step 5: Solve for x
    x = 52,842,033.19/10,071.59
  6. Step 6: Final answer
    x = 5,246.65

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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.