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Finding the Fourth Proportional to 7,613.76, 11,421.84 and 2,420.80

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Solution

The fourth proportional to 7,613.76, 11,421.84 and 2,420.80 is: 3,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.76 : 11,421.84 = 2,420.80 : x
  2. Step 2: Convert to fraction form
    7,613.76/11,421.84 = 2,420.80/x
  3. Step 3: Cross multiply
    7,613.76x = 11,421.84 × 2,420.80
  4. Step 4: Simplify right side
    7,613.76x = 27,649,990.27
  5. Step 5: Solve for x
    x = 27,649,990.27/7,613.76
  6. Step 6: Final answer
    x = 3,631.58

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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.