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Finding the Fourth Proportional to 10,560.38, 15,825.77 and 8,209.63

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Solution

The fourth proportional to 10,560.38, 15,825.77 and 8,209.63 is: 12,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.38 : 15,825.77 = 8,209.63 : x
  2. Step 2: Convert to fraction form
    10,560.38/15,825.77 = 8,209.63/x
  3. Step 3: Cross multiply
    10,560.38x = 15,825.77 × 8,209.63
  4. Step 4: Simplify right side
    10,560.38x = 129,923,595.99
  5. Step 5: Solve for x
    x = 129,923,595.99/10,560.38
  6. Step 6: Final answer
    x = 12,302.93

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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.