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Finding the Fourth Proportional to 11,502.84, 15,874.74 and 8,479.20

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Solution

The fourth proportional to 11,502.84, 15,874.74 and 8,479.20 is: 11,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.84 : 15,874.74 = 8,479.20 : x
  2. Step 2: Convert to fraction form
    11,502.84/15,874.74 = 8,479.20/x
  3. Step 3: Cross multiply
    11,502.84x = 15,874.74 × 8,479.20
  4. Step 4: Simplify right side
    11,502.84x = 134,605,095.41
  5. Step 5: Solve for x
    x = 134,605,095.41/11,502.84
  6. Step 6: Final answer
    x = 11,701.90

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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.