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Finding the Fourth Proportional to 7,281.28, 10,865.57 and 6,494.95

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Solution

The fourth proportional to 7,281.28, 10,865.57 and 6,494.95 is: 9,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.28 : 10,865.57 = 6,494.95 : x
  2. Step 2: Convert to fraction form
    7,281.28/10,865.57 = 6,494.95/x
  3. Step 3: Cross multiply
    7,281.28x = 10,865.57 × 6,494.95
  4. Step 4: Simplify right side
    7,281.28x = 70,571,333.87
  5. Step 5: Solve for x
    x = 70,571,333.87/7,281.28
  6. Step 6: Final answer
    x = 9,692.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.