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Finding the Fourth Proportional to 10,591.80, 14,617.08 and 6,399.24

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Solution

The fourth proportional to 10,591.80, 14,617.08 and 6,399.24 is: 8,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.80 : 14,617.08 = 6,399.24 : x
  2. Step 2: Convert to fraction form
    10,591.80/14,617.08 = 6,399.24/x
  3. Step 3: Cross multiply
    10,591.80x = 14,617.08 × 6,399.24
  4. Step 4: Simplify right side
    10,591.80x = 93,538,203.02
  5. Step 5: Solve for x
    x = 93,538,203.02/10,591.80
  6. Step 6: Final answer
    x = 8,831.19

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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.