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Finding the Fourth Proportional to 11,424.14, 15,742.85 and 8,738.40

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Solution

The fourth proportional to 11,424.14, 15,742.85 and 8,738.40 is: 12,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.14 : 15,742.85 = 8,738.40 : x
  2. Step 2: Convert to fraction form
    11,424.14/15,742.85 = 8,738.40/x
  3. Step 3: Cross multiply
    11,424.14x = 15,742.85 × 8,738.40
  4. Step 4: Simplify right side
    11,424.14x = 137,567,276.75
  5. Step 5: Solve for x
    x = 137,567,276.75/11,424.14
  6. Step 6: Final answer
    x = 12,041.81

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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.