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Finding the Fourth Proportional to 10,280.76, 15,428.25 and 4,040.73

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Solution

The fourth proportional to 10,280.76, 15,428.25 and 4,040.73 is: 6,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.76 : 15,428.25 = 4,040.73 : x
  2. Step 2: Convert to fraction form
    10,280.76/15,428.25 = 4,040.73/x
  3. Step 3: Cross multiply
    10,280.76x = 15,428.25 × 4,040.73
  4. Step 4: Simplify right side
    10,280.76x = 62,341,392.62
  5. Step 5: Solve for x
    x = 62,341,392.62/10,280.76
  6. Step 6: Final answer
    x = 6,063.89

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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.