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Finding the Fourth Proportional to 7,277.40, 10,901.52 and 5,965.20

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Solution

The fourth proportional to 7,277.40, 10,901.52 and 5,965.20 is: 8,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.40 : 10,901.52 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    7,277.40/10,901.52 = 5,965.20/x
  3. Step 3: Cross multiply
    7,277.40x = 10,901.52 × 5,965.20
  4. Step 4: Simplify right side
    7,277.40x = 65,029,747.10
  5. Step 5: Solve for x
    x = 65,029,747.10/7,277.40
  6. Step 6: Final answer
    x = 8,935.85

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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.