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Finding the Fourth Proportional to 7,544.32, 11,306.13 and 5,693.92

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Solution

The fourth proportional to 7,544.32, 11,306.13 and 5,693.92 is: 8,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.32 : 11,306.13 = 5,693.92 : x
  2. Step 2: Convert to fraction form
    7,544.32/11,306.13 = 5,693.92/x
  3. Step 3: Cross multiply
    7,544.32x = 11,306.13 × 5,693.92
  4. Step 4: Simplify right side
    7,544.32x = 64,376,199.73
  5. Step 5: Solve for x
    x = 64,376,199.73/7,544.32
  6. Step 6: Final answer
    x = 8,533.07

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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.