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Finding the Fourth Proportional to 10,650.24, 15,974.64 and 4,077.12

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Solution

The fourth proportional to 10,650.24, 15,974.64 and 4,077.12 is: 6,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.24 : 15,974.64 = 4,077.12 : x
  2. Step 2: Convert to fraction form
    10,650.24/15,974.64 = 4,077.12/x
  3. Step 3: Cross multiply
    10,650.24x = 15,974.64 × 4,077.12
  4. Step 4: Simplify right side
    10,650.24x = 65,130,524.24
  5. Step 5: Solve for x
    x = 65,130,524.24/10,650.24
  6. Step 6: Final answer
    x = 6,115.40

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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.