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Finding the Fourth Proportional to 10,414.88, 14,372.54 and 5,699.16

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Solution

The fourth proportional to 10,414.88, 14,372.54 and 5,699.16 is: 7,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.88 : 14,372.54 = 5,699.16 : x
  2. Step 2: Convert to fraction form
    10,414.88/14,372.54 = 5,699.16/x
  3. Step 3: Cross multiply
    10,414.88x = 14,372.54 × 5,699.16
  4. Step 4: Simplify right side
    10,414.88x = 81,911,397.94
  5. Step 5: Solve for x
    x = 81,911,397.94/10,414.88
  6. Step 6: Final answer
    x = 7,864.84

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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.