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Finding the Fourth Proportional to 10,502.73, 14,493.87 and 5,787.11

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Solution

The fourth proportional to 10,502.73, 14,493.87 and 5,787.11 is: 7,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.73 : 14,493.87 = 5,787.11 : x
  2. Step 2: Convert to fraction form
    10,502.73/14,493.87 = 5,787.11/x
  3. Step 3: Cross multiply
    10,502.73x = 14,493.87 × 5,787.11
  4. Step 4: Simplify right side
    10,502.73x = 83,877,656.25
  5. Step 5: Solve for x
    x = 83,877,656.25/10,502.73
  6. Step 6: Final answer
    x = 7,986.27

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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.