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Finding the Fourth Proportional to 10,414.56, 14,372.10 and 5,698.80

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Solution

The fourth proportional to 10,414.56, 14,372.10 and 5,698.80 is: 7,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.56 : 14,372.10 = 5,698.80 : x
  2. Step 2: Convert to fraction form
    10,414.56/14,372.10 = 5,698.80/x
  3. Step 3: Cross multiply
    10,414.56x = 14,372.10 × 5,698.80
  4. Step 4: Simplify right side
    10,414.56x = 81,903,723.48
  5. Step 5: Solve for x
    x = 81,903,723.48/10,414.56
  6. Step 6: Final answer
    x = 7,864.35

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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.