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Finding the Fourth Proportional to 10,502.94, 14,493.72 and 5,787.18

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Solution

The fourth proportional to 10,502.94, 14,493.72 and 5,787.18 is: 7,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.94 : 14,493.72 = 5,787.18 : x
  2. Step 2: Convert to fraction form
    10,502.94/14,493.72 = 5,787.18/x
  3. Step 3: Cross multiply
    10,502.94x = 14,493.72 × 5,787.18
  4. Step 4: Simplify right side
    10,502.94x = 83,877,766.51
  5. Step 5: Solve for x
    x = 83,877,766.51/10,502.94
  6. Step 6: Final answer
    x = 7,986.12

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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.