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Finding the Fourth Proportional to 10,613.44, 15,920.40 and 2,823.04

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Solution

The fourth proportional to 10,613.44, 15,920.40 and 2,823.04 is: 4,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.44 : 15,920.40 = 2,823.04 : x
  2. Step 2: Convert to fraction form
    10,613.44/15,920.40 = 2,823.04/x
  3. Step 3: Cross multiply
    10,613.44x = 15,920.40 × 2,823.04
  4. Step 4: Simplify right side
    10,613.44x = 44,943,926.02
  5. Step 5: Solve for x
    x = 44,943,926.02/10,613.44
  6. Step 6: Final answer
    x = 4,234.62

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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.