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Finding the Fourth Proportional to 11,385.77, 15,711.95 and 6,349.91

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Solution

The fourth proportional to 11,385.77, 15,711.95 and 6,349.91 is: 8,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.77 : 15,711.95 = 6,349.91 : x
  2. Step 2: Convert to fraction form
    11,385.77/15,711.95 = 6,349.91/x
  3. Step 3: Cross multiply
    11,385.77x = 15,711.95 × 6,349.91
  4. Step 4: Simplify right side
    11,385.77x = 99,769,436.67
  5. Step 5: Solve for x
    x = 99,769,436.67/11,385.77
  6. Step 6: Final answer
    x = 8,762.64

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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.