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Finding the Fourth Proportional to 10,502.75, 14,493.86 and 5,787.04

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Solution

The fourth proportional to 10,502.75, 14,493.86 and 5,787.04 is: 7,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.75 : 14,493.86 = 5,787.04 : x
  2. Step 2: Convert to fraction form
    10,502.75/14,493.86 = 5,787.04/x
  3. Step 3: Cross multiply
    10,502.75x = 14,493.86 × 5,787.04
  4. Step 4: Simplify right side
    10,502.75x = 83,876,525.81
  5. Step 5: Solve for x
    x = 83,876,525.81/10,502.75
  6. Step 6: Final answer
    x = 7,986.15

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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.