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Finding the Fourth Proportional to 28,538.46, 42,807.78 and 7,761.96

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Solution

The fourth proportional to 28,538.46, 42,807.78 and 7,761.96 is: 11,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.46 : 42,807.78 = 7,761.96 : x
  2. Step 2: Convert to fraction form
    28,538.46/42,807.78 = 7,761.96/x
  3. Step 3: Cross multiply
    28,538.46x = 42,807.78 × 7,761.96
  4. Step 4: Simplify right side
    28,538.46x = 332,272,276.05
  5. Step 5: Solve for x
    x = 332,272,276.05/28,538.46
  6. Step 6: Final answer
    x = 11,642.96

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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.