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Finding the Fourth Proportional to 10,617.12, 14,650.02 and 6,139.98

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Solution

The fourth proportional to 10,617.12, 14,650.02 and 6,139.98 is: 8,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.12 : 14,650.02 = 6,139.98 : x
  2. Step 2: Convert to fraction form
    10,617.12/14,650.02 = 6,139.98/x
  3. Step 3: Cross multiply
    10,617.12x = 14,650.02 × 6,139.98
  4. Step 4: Simplify right side
    10,617.12x = 89,950,829.80
  5. Step 5: Solve for x
    x = 89,950,829.80/10,617.12
  6. Step 6: Final answer
    x = 8,472.24

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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.