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Finding the Fourth Proportional to 10,444.52, 14,414.14 and 5,905.64

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Solution

The fourth proportional to 10,444.52, 14,414.14 and 5,905.64 is: 8,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.52 : 14,414.14 = 5,905.64 : x
  2. Step 2: Convert to fraction form
    10,444.52/14,414.14 = 5,905.64/x
  3. Step 3: Cross multiply
    10,444.52x = 14,414.14 × 5,905.64
  4. Step 4: Simplify right side
    10,444.52x = 85,124,721.75
  5. Step 5: Solve for x
    x = 85,124,721.75/10,444.52
  6. Step 6: Final answer
    x = 8,150.18

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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.