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Finding the Fourth Proportional to 11,502.22, 15,871.08 and 6,465.74

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Solution

The fourth proportional to 11,502.22, 15,871.08 and 6,465.74 is: 8,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.22 : 15,871.08 = 6,465.74 : x
  2. Step 2: Convert to fraction form
    11,502.22/15,871.08 = 6,465.74/x
  3. Step 3: Cross multiply
    11,502.22x = 15,871.08 × 6,465.74
  4. Step 4: Simplify right side
    11,502.22x = 102,618,276.80
  5. Step 5: Solve for x
    x = 102,618,276.80/11,502.22
  6. Step 6: Final answer
    x = 8,921.61

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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.