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Finding the Fourth Proportional to 11,415.42, 15,753.54 and 6,379.52

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Solution

The fourth proportional to 11,415.42, 15,753.54 and 6,379.52 is: 8,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.42 : 15,753.54 = 6,379.52 : x
  2. Step 2: Convert to fraction form
    11,415.42/15,753.54 = 6,379.52/x
  3. Step 3: Cross multiply
    11,415.42x = 15,753.54 × 6,379.52
  4. Step 4: Simplify right side
    11,415.42x = 100,500,023.50
  5. Step 5: Solve for x
    x = 100,500,023.50/11,415.42
  6. Step 6: Final answer
    x = 8,803.88

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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.