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Finding the Fourth Proportional to 7,277.38, 10,899.62 and 5,965.18

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Solution

The fourth proportional to 7,277.38, 10,899.62 and 5,965.18 is: 8,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.38 : 10,899.62 = 5,965.18 : x
  2. Step 2: Convert to fraction form
    7,277.38/10,899.62 = 5,965.18/x
  3. Step 3: Cross multiply
    7,277.38x = 10,899.62 × 5,965.18
  4. Step 4: Simplify right side
    7,277.38x = 65,018,195.23
  5. Step 5: Solve for x
    x = 65,018,195.23/7,277.38
  6. Step 6: Final answer
    x = 8,934.29

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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.