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Finding the Fourth Proportional to 10,776.96, 14,872.17 and 6,061.24

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Solution

The fourth proportional to 10,776.96, 14,872.17 and 6,061.24 is: 8,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.96 : 14,872.17 = 6,061.24 : x
  2. Step 2: Convert to fraction form
    10,776.96/14,872.17 = 6,061.24/x
  3. Step 3: Cross multiply
    10,776.96x = 14,872.17 × 6,061.24
  4. Step 4: Simplify right side
    10,776.96x = 90,143,791.69
  5. Step 5: Solve for x
    x = 90,143,791.69/10,776.96
  6. Step 6: Final answer
    x = 8,364.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.