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Finding the Fourth Proportional to 10,426.88, 15,646.48 and 3,857.68

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Solution

The fourth proportional to 10,426.88, 15,646.48 and 3,857.68 is: 5,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.88 : 15,646.48 = 3,857.68 : x
  2. Step 2: Convert to fraction form
    10,426.88/15,646.48 = 3,857.68/x
  3. Step 3: Cross multiply
    10,426.88x = 15,646.48 × 3,857.68
  4. Step 4: Simplify right side
    10,426.88x = 60,359,112.97
  5. Step 5: Solve for x
    x = 60,359,112.97/10,426.88
  6. Step 6: Final answer
    x = 5,788.80

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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.