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Finding the Fourth Proportional to 10,387.77, 14,335.16 and 6,195.75

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Solution

The fourth proportional to 10,387.77, 14,335.16 and 6,195.75 is: 8,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.77 : 14,335.16 = 6,195.75 : x
  2. Step 2: Convert to fraction form
    10,387.77/14,335.16 = 6,195.75/x
  3. Step 3: Cross multiply
    10,387.77x = 14,335.16 × 6,195.75
  4. Step 4: Simplify right side
    10,387.77x = 88,817,036.59
  5. Step 5: Solve for x
    x = 88,817,036.59/10,387.77
  6. Step 6: Final answer
    x = 8,550.15

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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.