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Finding the Fourth Proportional to 10,591.56, 14,617.26 and 6,399

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Solution

The fourth proportional to 10,591.56, 14,617.26 and 6,399 is: 8,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.56 : 14,617.26 = 6,399 : x
  2. Step 2: Convert to fraction form
    10,591.56/14,617.26 = 6,399/x
  3. Step 3: Cross multiply
    10,591.56x = 14,617.26 × 6,399
  4. Step 4: Simplify right side
    10,591.56x = 93,535,846.74
  5. Step 5: Solve for x
    x = 93,535,846.74/10,591.56
  6. Step 6: Final answer
    x = 8,831.17

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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.