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Finding the Fourth Proportional to 11,254.24, 16,885.92 and 5,416

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Solution

The fourth proportional to 11,254.24, 16,885.92 and 5,416 is: 8,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.24 : 16,885.92 = 5,416 : x
  2. Step 2: Convert to fraction form
    11,254.24/16,885.92 = 5,416/x
  3. Step 3: Cross multiply
    11,254.24x = 16,885.92 × 5,416
  4. Step 4: Simplify right side
    11,254.24x = 91,454,142.72
  5. Step 5: Solve for x
    x = 91,454,142.72/11,254.24
  6. Step 6: Final answer
    x = 8,126.19

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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.