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Finding the Fourth Proportional to 10,446.90, 15,670.35 and 3,874.26

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Solution

The fourth proportional to 10,446.90, 15,670.35 and 3,874.26 is: 5,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.90 : 15,670.35 = 3,874.26 : x
  2. Step 2: Convert to fraction form
    10,446.90/15,670.35 = 3,874.26/x
  3. Step 3: Cross multiply
    10,446.90x = 15,670.35 × 3,874.26
  4. Step 4: Simplify right side
    10,446.90x = 60,711,010.19
  5. Step 5: Solve for x
    x = 60,711,010.19/10,446.90
  6. Step 6: Final answer
    x = 5,811.39

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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.