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Finding the Fourth Proportional to 10,472.14, 15,707.80 and 3,546.64

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Solution

The fourth proportional to 10,472.14, 15,707.80 and 3,546.64 is: 5,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.14 : 15,707.80 = 3,546.64 : x
  2. Step 2: Convert to fraction form
    10,472.14/15,707.80 = 3,546.64/x
  3. Step 3: Cross multiply
    10,472.14x = 15,707.80 × 3,546.64
  4. Step 4: Simplify right side
    10,472.14x = 55,709,911.79
  5. Step 5: Solve for x
    x = 55,709,911.79/10,472.14
  6. Step 6: Final answer
    x = 5,319.82

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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.