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Finding the Fourth Proportional to 8,434.18, 11,637.03 and 5,639.68

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Solution

The fourth proportional to 8,434.18, 11,637.03 and 5,639.68 is: 7,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.18 : 11,637.03 = 5,639.68 : x
  2. Step 2: Convert to fraction form
    8,434.18/11,637.03 = 5,639.68/x
  3. Step 3: Cross multiply
    8,434.18x = 11,637.03 × 5,639.68
  4. Step 4: Simplify right side
    8,434.18x = 65,629,125.35
  5. Step 5: Solve for x
    x = 65,629,125.35/8,434.18
  6. Step 6: Final answer
    x = 7,781.33

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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.