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Finding the Fourth Proportional to 11,557.42, 17,331.86 and 4,159.88

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Solution

The fourth proportional to 11,557.42, 17,331.86 and 4,159.88 is: 6,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.42 : 17,331.86 = 4,159.88 : x
  2. Step 2: Convert to fraction form
    11,557.42/17,331.86 = 4,159.88/x
  3. Step 3: Cross multiply
    11,557.42x = 17,331.86 × 4,159.88
  4. Step 4: Simplify right side
    11,557.42x = 72,098,457.78
  5. Step 5: Solve for x
    x = 72,098,457.78/11,557.42
  6. Step 6: Final answer
    x = 6,238.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.