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Finding the Fourth Proportional to 8,434.18, 11,613.40 and 7,643.08

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Solution

The fourth proportional to 8,434.18, 11,613.40 and 7,643.08 is: 10,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.18 : 11,613.40 = 7,643.08 : x
  2. Step 2: Convert to fraction form
    8,434.18/11,613.40 = 7,643.08/x
  3. Step 3: Cross multiply
    8,434.18x = 11,613.40 × 7,643.08
  4. Step 4: Simplify right side
    8,434.18x = 88,762,145.27
  5. Step 5: Solve for x
    x = 88,762,145.27/8,434.18
  6. Step 6: Final answer
    x = 10,524.10

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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.