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Finding the Fourth Proportional to 7,177.62, 10,769.14 and 4,061.14

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Solution

The fourth proportional to 7,177.62, 10,769.14 and 4,061.14 is: 6,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.62 : 10,769.14 = 4,061.14 : x
  2. Step 2: Convert to fraction form
    7,177.62/10,769.14 = 4,061.14/x
  3. Step 3: Cross multiply
    7,177.62x = 10,769.14 × 4,061.14
  4. Step 4: Simplify right side
    7,177.62x = 43,734,985.22
  5. Step 5: Solve for x
    x = 43,734,985.22/7,177.62
  6. Step 6: Final answer
    x = 6,093.24

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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.