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Finding the Fourth Proportional to 10,373.26, 15,566.40 and 5,446.42

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Solution

The fourth proportional to 10,373.26, 15,566.40 and 5,446.42 is: 8,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.26 : 15,566.40 = 5,446.42 : x
  2. Step 2: Convert to fraction form
    10,373.26/15,566.40 = 5,446.42/x
  3. Step 3: Cross multiply
    10,373.26x = 15,566.40 × 5,446.42
  4. Step 4: Simplify right side
    10,373.26x = 84,781,152.29
  5. Step 5: Solve for x
    x = 84,781,152.29/10,373.26
  6. Step 6: Final answer
    x = 8,173.05

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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.