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Finding the Fourth Proportional to 10,502.87, 14,494.95 and 6,027.62

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Solution

The fourth proportional to 10,502.87, 14,494.95 and 6,027.62 is: 8,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.87 : 14,494.95 = 6,027.62 : x
  2. Step 2: Convert to fraction form
    10,502.87/14,494.95 = 6,027.62/x
  3. Step 3: Cross multiply
    10,502.87x = 14,494.95 × 6,027.62
  4. Step 4: Simplify right side
    10,502.87x = 87,369,978.04
  5. Step 5: Solve for x
    x = 87,369,978.04/10,502.87
  6. Step 6: Final answer
    x = 8,318.68

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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.