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Finding the Fourth Proportional to 7,614.24, 10,514.10 and 6,361.98

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Solution

The fourth proportional to 7,614.24, 10,514.10 and 6,361.98 is: 8,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.24 : 10,514.10 = 6,361.98 : x
  2. Step 2: Convert to fraction form
    7,614.24/10,514.10 = 6,361.98/x
  3. Step 3: Cross multiply
    7,614.24x = 10,514.10 × 6,361.98
  4. Step 4: Simplify right side
    7,614.24x = 66,890,441.35
  5. Step 5: Solve for x
    x = 66,890,441.35/7,614.24
  6. Step 6: Final answer
    x = 8,784.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.