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Finding the Fourth Proportional to 11,502.89, 15,873.09 and 6,466.15

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Solution

The fourth proportional to 11,502.89, 15,873.09 and 6,466.15 is: 8,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.89 : 15,873.09 = 6,466.15 : x
  2. Step 2: Convert to fraction form
    11,502.89/15,873.09 = 6,466.15/x
  3. Step 3: Cross multiply
    11,502.89x = 15,873.09 × 6,466.15
  4. Step 4: Simplify right side
    11,502.89x = 102,637,780.90
  5. Step 5: Solve for x
    x = 102,637,780.90/11,502.89
  6. Step 6: Final answer
    x = 8,922.78

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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.