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Finding the Fourth Proportional to 10,240.98, 14,134.77 and 6,049.86

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Solution

The fourth proportional to 10,240.98, 14,134.77 and 6,049.86 is: 8,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.98 : 14,134.77 = 6,049.86 : x
  2. Step 2: Convert to fraction form
    10,240.98/14,134.77 = 6,049.86/x
  3. Step 3: Cross multiply
    10,240.98x = 14,134.77 × 6,049.86
  4. Step 4: Simplify right side
    10,240.98x = 85,513,379.63
  5. Step 5: Solve for x
    x = 85,513,379.63/10,240.98
  6. Step 6: Final answer
    x = 8,350.12

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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.