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Finding the Fourth Proportional to 10,285.80, 15,405.28 and 8,050.72

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Solution

The fourth proportional to 10,285.80, 15,405.28 and 8,050.72 is: 12,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.80 : 15,405.28 = 8,050.72 : x
  2. Step 2: Convert to fraction form
    10,285.80/15,405.28 = 8,050.72/x
  3. Step 3: Cross multiply
    10,285.80x = 15,405.28 × 8,050.72
  4. Step 4: Simplify right side
    10,285.80x = 124,023,595.80
  5. Step 5: Solve for x
    x = 124,023,595.80/10,285.80
  6. Step 6: Final answer
    x = 12,057.75

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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.