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Finding the Fourth Proportional to 10,502.16, 14,489.87 and 6,249.82

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Solution

The fourth proportional to 10,502.16, 14,489.87 and 6,249.82 is: 8,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.16 : 14,489.87 = 6,249.82 : x
  2. Step 2: Convert to fraction form
    10,502.16/14,489.87 = 6,249.82/x
  3. Step 3: Cross multiply
    10,502.16x = 14,489.87 × 6,249.82
  4. Step 4: Simplify right side
    10,502.16x = 90,559,006.87
  5. Step 5: Solve for x
    x = 90,559,006.87/10,502.16
  6. Step 6: Final answer
    x = 8,622.89

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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.