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Finding the Fourth Proportional to 7,788.06, 10,747.32 and 7,161.12

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Solution

The fourth proportional to 7,788.06, 10,747.32 and 7,161.12 is: 9,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.06 : 10,747.32 = 7,161.12 : x
  2. Step 2: Convert to fraction form
    7,788.06/10,747.32 = 7,161.12/x
  3. Step 3: Cross multiply
    7,788.06x = 10,747.32 × 7,161.12
  4. Step 4: Simplify right side
    7,788.06x = 76,962,821.34
  5. Step 5: Solve for x
    x = 76,962,821.34/7,788.06
  6. Step 6: Final answer
    x = 9,882.16

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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.