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Finding the Fourth Proportional to 10,318.61, 14,240.16 and 5,841.77

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Solution

The fourth proportional to 10,318.61, 14,240.16 and 5,841.77 is: 8,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.61 : 14,240.16 = 5,841.77 : x
  2. Step 2: Convert to fraction form
    10,318.61/14,240.16 = 5,841.77/x
  3. Step 3: Cross multiply
    10,318.61x = 14,240.16 × 5,841.77
  4. Step 4: Simplify right side
    10,318.61x = 83,187,739.48
  5. Step 5: Solve for x
    x = 83,187,739.48/10,318.61
  6. Step 6: Final answer
    x = 8,061.91

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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.