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Finding the Fourth Proportional to 7,535.70, 11,304.57 and 3,152.13

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Solution

The fourth proportional to 7,535.70, 11,304.57 and 3,152.13 is: 4,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.70 : 11,304.57 = 3,152.13 : x
  2. Step 2: Convert to fraction form
    7,535.70/11,304.57 = 3,152.13/x
  3. Step 3: Cross multiply
    7,535.70x = 11,304.57 × 3,152.13
  4. Step 4: Simplify right side
    7,535.70x = 35,633,474.23
  5. Step 5: Solve for x
    x = 35,633,474.23/7,535.70
  6. Step 6: Final answer
    x = 4,728.62

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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.