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Finding the Fourth Proportional to 10,595.26, 15,894.29 and 3,930.85

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Solution

The fourth proportional to 10,595.26, 15,894.29 and 3,930.85 is: 5,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.26 : 15,894.29 = 3,930.85 : x
  2. Step 2: Convert to fraction form
    10,595.26/15,894.29 = 3,930.85/x
  3. Step 3: Cross multiply
    10,595.26x = 15,894.29 × 3,930.85
  4. Step 4: Simplify right side
    10,595.26x = 62,478,069.85
  5. Step 5: Solve for x
    x = 62,478,069.85/10,595.26
  6. Step 6: Final answer
    x = 5,896.79

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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.