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Finding the Fourth Proportional to 10,260.95, 15,380.88 and 7,790.54

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Solution

The fourth proportional to 10,260.95, 15,380.88 and 7,790.54 is: 11,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.95 : 15,380.88 = 7,790.54 : x
  2. Step 2: Convert to fraction form
    10,260.95/15,380.88 = 7,790.54/x
  3. Step 3: Cross multiply
    10,260.95x = 15,380.88 × 7,790.54
  4. Step 4: Simplify right side
    10,260.95x = 119,825,283.97
  5. Step 5: Solve for x
    x = 119,825,283.97/10,260.95
  6. Step 6: Final answer
    x = 11,677.80

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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.