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Finding the Fourth Proportional to 8,412.68, 11,587.62 and 6,403.88

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Solution

The fourth proportional to 8,412.68, 11,587.62 and 6,403.88 is: 8,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.68 : 11,587.62 = 6,403.88 : x
  2. Step 2: Convert to fraction form
    8,412.68/11,587.62 = 6,403.88/x
  3. Step 3: Cross multiply
    8,412.68x = 11,587.62 × 6,403.88
  4. Step 4: Simplify right side
    8,412.68x = 74,205,727.97
  5. Step 5: Solve for x
    x = 74,205,727.97/8,412.68
  6. Step 6: Final answer
    x = 8,820.70

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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.