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Finding the Fourth Proportional to 10,364.80, 15,538.69 and 4,122.13

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Solution

The fourth proportional to 10,364.80, 15,538.69 and 4,122.13 is: 6,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.80 : 15,538.69 = 4,122.13 : x
  2. Step 2: Convert to fraction form
    10,364.80/15,538.69 = 4,122.13/x
  3. Step 3: Cross multiply
    10,364.80x = 15,538.69 × 4,122.13
  4. Step 4: Simplify right side
    10,364.80x = 64,052,500.21
  5. Step 5: Solve for x
    x = 64,052,500.21/10,364.80
  6. Step 6: Final answer
    x = 6,179.81

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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.