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Finding the Fourth Proportional to 10,026.15, 13,842.37 and 6,442.71

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Solution

The fourth proportional to 10,026.15, 13,842.37 and 6,442.71 is: 8,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.15 : 13,842.37 = 6,442.71 : x
  2. Step 2: Convert to fraction form
    10,026.15/13,842.37 = 6,442.71/x
  3. Step 3: Cross multiply
    10,026.15x = 13,842.37 × 6,442.71
  4. Step 4: Simplify right side
    10,026.15x = 89,182,375.62
  5. Step 5: Solve for x
    x = 89,182,375.62/10,026.15
  6. Step 6: Final answer
    x = 8,894.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.