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Finding the Fourth Proportional to 10,377.66, 14,321.50 and 5,901.13

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Solution

The fourth proportional to 10,377.66, 14,321.50 and 5,901.13 is: 8,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.66 : 14,321.50 = 5,901.13 : x
  2. Step 2: Convert to fraction form
    10,377.66/14,321.50 = 5,901.13/x
  3. Step 3: Cross multiply
    10,377.66x = 14,321.50 × 5,901.13
  4. Step 4: Simplify right side
    10,377.66x = 84,512,982.74
  5. Step 5: Solve for x
    x = 84,512,982.74/10,377.66
  6. Step 6: Final answer
    x = 8,143.74

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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.