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Finding the Fourth Proportional to 28,456.56, 42,685.62 and 7,680

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Solution

The fourth proportional to 28,456.56, 42,685.62 and 7,680 is: 11,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456.56 : 42,685.62 = 7,680 : x
  2. Step 2: Convert to fraction form
    28,456.56/42,685.62 = 7,680/x
  3. Step 3: Cross multiply
    28,456.56x = 42,685.62 × 7,680
  4. Step 4: Simplify right side
    28,456.56x = 327,825,561.60
  5. Step 5: Solve for x
    x = 327,825,561.60/28,456.56
  6. Step 6: Final answer
    x = 11,520.21

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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.