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Finding the Fourth Proportional to 10,502.85, 14,493.56 and 5,787.15

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Solution

The fourth proportional to 10,502.85, 14,493.56 and 5,787.15 is: 7,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.85 : 14,493.56 = 5,787.15 : x
  2. Step 2: Convert to fraction form
    10,502.85/14,493.56 = 5,787.15/x
  3. Step 3: Cross multiply
    10,502.85x = 14,493.56 × 5,787.15
  4. Step 4: Simplify right side
    10,502.85x = 83,876,376.82
  5. Step 5: Solve for x
    x = 83,876,376.82/10,502.85
  6. Step 6: Final answer
    x = 7,986.06

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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.