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Finding the Fourth Proportional to 11,263.20, 15,542.64 and 6,295.20

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Solution

The fourth proportional to 11,263.20, 15,542.64 and 6,295.20 is: 8,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.20 : 15,542.64 = 6,295.20 : x
  2. Step 2: Convert to fraction form
    11,263.20/15,542.64 = 6,295.20/x
  3. Step 3: Cross multiply
    11,263.20x = 15,542.64 × 6,295.20
  4. Step 4: Simplify right side
    11,263.20x = 97,844,027.33
  5. Step 5: Solve for x
    x = 97,844,027.33/11,263.20
  6. Step 6: Final answer
    x = 8,687.05

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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.