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Finding the Fourth Proportional to 10,472.82, 15,711.73 and 3,077.11

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Solution

The fourth proportional to 10,472.82, 15,711.73 and 3,077.11 is: 4,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.82 : 15,711.73 = 3,077.11 : x
  2. Step 2: Convert to fraction form
    10,472.82/15,711.73 = 3,077.11/x
  3. Step 3: Cross multiply
    10,472.82x = 15,711.73 × 3,077.11
  4. Step 4: Simplify right side
    10,472.82x = 48,346,706.11
  5. Step 5: Solve for x
    x = 48,346,706.11/10,472.82
  6. Step 6: Final answer
    x = 4,616.40

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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.