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Finding the Fourth Proportional to 10,613.90, 15,920.84 and 2,822.72

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Solution

The fourth proportional to 10,613.90, 15,920.84 and 2,822.72 is: 4,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.90 : 15,920.84 = 2,822.72 : x
  2. Step 2: Convert to fraction form
    10,613.90/15,920.84 = 2,822.72/x
  3. Step 3: Cross multiply
    10,613.90x = 15,920.84 × 2,822.72
  4. Step 4: Simplify right side
    10,613.90x = 44,939,979.77
  5. Step 5: Solve for x
    x = 44,939,979.77/10,613.90
  6. Step 6: Final answer
    x = 4,234.07

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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.