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Finding the Fourth Proportional to 10,414.62, 14,372.16 and 5,698.90

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Solution

The fourth proportional to 10,414.62, 14,372.16 and 5,698.90 is: 7,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.62 : 14,372.16 = 5,698.90 : x
  2. Step 2: Convert to fraction form
    10,414.62/14,372.16 = 5,698.90/x
  3. Step 3: Cross multiply
    10,414.62x = 14,372.16 × 5,698.90
  4. Step 4: Simplify right side
    10,414.62x = 81,905,502.62
  5. Step 5: Solve for x
    x = 81,905,502.62/10,414.62
  6. Step 6: Final answer
    x = 7,864.47

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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.