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Finding the Fourth Proportional to 10,637.86, 15,958.52 and 3,142.18

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Solution

The fourth proportional to 10,637.86, 15,958.52 and 3,142.18 is: 4,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.86 : 15,958.52 = 3,142.18 : x
  2. Step 2: Convert to fraction form
    10,637.86/15,958.52 = 3,142.18/x
  3. Step 3: Cross multiply
    10,637.86x = 15,958.52 × 3,142.18
  4. Step 4: Simplify right side
    10,637.86x = 50,144,498.55
  5. Step 5: Solve for x
    x = 50,144,498.55/10,637.86
  6. Step 6: Final answer
    x = 4,713.78

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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.