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Finding the Fourth Proportional to 11,264.01, 16,871.42 and 5,707.82

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Solution

The fourth proportional to 11,264.01, 16,871.42 and 5,707.82 is: 8,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.01 : 16,871.42 = 5,707.82 : x
  2. Step 2: Convert to fraction form
    11,264.01/16,871.42 = 5,707.82/x
  3. Step 3: Cross multiply
    11,264.01x = 16,871.42 × 5,707.82
  4. Step 4: Simplify right side
    11,264.01x = 96,298,915.61
  5. Step 5: Solve for x
    x = 96,298,915.61/11,264.01
  6. Step 6: Final answer
    x = 8,549.26

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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.