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Finding the Fourth Proportional to 10,446.52, 15,670.16 and 3,426.70

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Solution

The fourth proportional to 10,446.52, 15,670.16 and 3,426.70 is: 5,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.52 : 15,670.16 = 3,426.70 : x
  2. Step 2: Convert to fraction form
    10,446.52/15,670.16 = 3,426.70/x
  3. Step 3: Cross multiply
    10,446.52x = 15,670.16 × 3,426.70
  4. Step 4: Simplify right side
    10,446.52x = 53,696,937.27
  5. Step 5: Solve for x
    x = 53,696,937.27/10,446.52
  6. Step 6: Final answer
    x = 5,140.17

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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.