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Finding the Fourth Proportional to 11,862.64, 16,319.22 and 10,257.31

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Solution

The fourth proportional to 11,862.64, 16,319.22 and 10,257.31 is: 14,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.64 : 16,319.22 = 10,257.31 : x
  2. Step 2: Convert to fraction form
    11,862.64/16,319.22 = 10,257.31/x
  3. Step 3: Cross multiply
    11,862.64x = 16,319.22 × 10,257.31
  4. Step 4: Simplify right side
    11,862.64x = 167,391,298.50
  5. Step 5: Solve for x
    x = 167,391,298.50/11,862.64
  6. Step 6: Final answer
    x = 14,110.80

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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.