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Finding the Fourth Proportional to 7,877.40, 10,842.30 and 7,423.80

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Solution

The fourth proportional to 7,877.40, 10,842.30 and 7,423.80 is: 10,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.40 : 10,842.30 = 7,423.80 : x
  2. Step 2: Convert to fraction form
    7,877.40/10,842.30 = 7,423.80/x
  3. Step 3: Cross multiply
    7,877.40x = 10,842.30 × 7,423.80
  4. Step 4: Simplify right side
    7,877.40x = 80,491,066.74
  5. Step 5: Solve for x
    x = 80,491,066.74/7,877.40
  6. Step 6: Final answer
    x = 10,217.97

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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.