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Finding the Fourth Proportional to 7,527.72, 11,287.46 and 5,977.68

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Solution

The fourth proportional to 7,527.72, 11,287.46 and 5,977.68 is: 8,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.72 : 11,287.46 = 5,977.68 : x
  2. Step 2: Convert to fraction form
    7,527.72/11,287.46 = 5,977.68/x
  3. Step 3: Cross multiply
    7,527.72x = 11,287.46 × 5,977.68
  4. Step 4: Simplify right side
    7,527.72x = 67,472,823.89
  5. Step 5: Solve for x
    x = 67,472,823.89/7,527.72
  6. Step 6: Final answer
    x = 8,963.25

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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.