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Finding the Fourth Proportional to 7,562.48, 11,349.72 and 3,182.96

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Solution

The fourth proportional to 7,562.48, 11,349.72 and 3,182.96 is: 4,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.48 : 11,349.72 = 3,182.96 : x
  2. Step 2: Convert to fraction form
    7,562.48/11,349.72 = 3,182.96/x
  3. Step 3: Cross multiply
    7,562.48x = 11,349.72 × 3,182.96
  4. Step 4: Simplify right side
    7,562.48x = 36,125,704.77
  5. Step 5: Solve for x
    x = 36,125,704.77/7,562.48
  6. Step 6: Final answer
    x = 4,776.97

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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.