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Finding the Fourth Proportional to 7,535.20, 11,302.80 and 6,077.20

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Solution

The fourth proportional to 7,535.20, 11,302.80 and 6,077.20 is: 9,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.20 : 11,302.80 = 6,077.20 : x
  2. Step 2: Convert to fraction form
    7,535.20/11,302.80 = 6,077.20/x
  3. Step 3: Cross multiply
    7,535.20x = 11,302.80 × 6,077.20
  4. Step 4: Simplify right side
    7,535.20x = 68,689,376.16
  5. Step 5: Solve for x
    x = 68,689,376.16/7,535.20
  6. Step 6: Final answer
    x = 9,115.80

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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.