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Finding the Fourth Proportional to 7,864.88, 11,802.12 and 3,247.28

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Solution

The fourth proportional to 7,864.88, 11,802.12 and 3,247.28 is: 4,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.88 : 11,802.12 = 3,247.28 : x
  2. Step 2: Convert to fraction form
    7,864.88/11,802.12 = 3,247.28/x
  3. Step 3: Cross multiply
    7,864.88x = 11,802.12 × 3,247.28
  4. Step 4: Simplify right side
    7,864.88x = 38,324,788.23
  5. Step 5: Solve for x
    x = 38,324,788.23/7,864.88
  6. Step 6: Final answer
    x = 4,872.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.