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Finding the Fourth Proportional to 8,287.32, 11,436.17 and 4,748.07

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Solution

The fourth proportional to 8,287.32, 11,436.17 and 4,748.07 is: 6,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.32 : 11,436.17 = 4,748.07 : x
  2. Step 2: Convert to fraction form
    8,287.32/11,436.17 = 4,748.07/x
  3. Step 3: Cross multiply
    8,287.32x = 11,436.17 × 4,748.07
  4. Step 4: Simplify right side
    8,287.32x = 54,299,711.95
  5. Step 5: Solve for x
    x = 54,299,711.95/8,287.32
  6. Step 6: Final answer
    x = 6,552.14

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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.