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Finding the Fourth Proportional to 10,302.26, 15,442.94 and 4,059.83

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Solution

The fourth proportional to 10,302.26, 15,442.94 and 4,059.83 is: 6,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.26 : 15,442.94 = 4,059.83 : x
  2. Step 2: Convert to fraction form
    10,302.26/15,442.94 = 4,059.83/x
  3. Step 3: Cross multiply
    10,302.26x = 15,442.94 × 4,059.83
  4. Step 4: Simplify right side
    10,302.26x = 62,695,759.86
  5. Step 5: Solve for x
    x = 62,695,759.86/10,302.26
  6. Step 6: Final answer
    x = 6,085.63

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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.