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Finding the Fourth Proportional to 7,614.16, 11,421.19 and 3,917.42

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Solution

The fourth proportional to 7,614.16, 11,421.19 and 3,917.42 is: 5,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.16 : 11,421.19 = 3,917.42 : x
  2. Step 2: Convert to fraction form
    7,614.16/11,421.19 = 3,917.42/x
  3. Step 3: Cross multiply
    7,614.16x = 11,421.19 × 3,917.42
  4. Step 4: Simplify right side
    7,614.16x = 44,741,598.13
  5. Step 5: Solve for x
    x = 44,741,598.13/7,614.16
  6. Step 6: Final answer
    x = 5,876.10

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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.