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Finding the Fourth Proportional to 7,877.43, 11,808.86 and 4,412.25

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Solution

The fourth proportional to 7,877.43, 11,808.86 and 4,412.25 is: 6,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.43 : 11,808.86 = 4,412.25 : x
  2. Step 2: Convert to fraction form
    7,877.43/11,808.86 = 4,412.25/x
  3. Step 3: Cross multiply
    7,877.43x = 11,808.86 × 4,412.25
  4. Step 4: Simplify right side
    7,877.43x = 52,103,620.47
  5. Step 5: Solve for x
    x = 52,103,620.47/7,877.43
  6. Step 6: Final answer
    x = 6,614.29

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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.