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Finding the Fourth Proportional to 10,505.80, 15,743.85 and 5,827.87

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Solution

The fourth proportional to 10,505.80, 15,743.85 and 5,827.87 is: 8,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.80 : 15,743.85 = 5,827.87 : x
  2. Step 2: Convert to fraction form
    10,505.80/15,743.85 = 5,827.87/x
  3. Step 3: Cross multiply
    10,505.80x = 15,743.85 × 5,827.87
  4. Step 4: Simplify right side
    10,505.80x = 91,753,111.10
  5. Step 5: Solve for x
    x = 91,753,111.10/10,505.80
  6. Step 6: Final answer
    x = 8,733.57

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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.