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Finding the Fourth Proportional to 8,165.36, 11,248.20 and 5,920.64

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Solution

The fourth proportional to 8,165.36, 11,248.20 and 5,920.64 is: 8,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.36 : 11,248.20 = 5,920.64 : x
  2. Step 2: Convert to fraction form
    8,165.36/11,248.20 = 5,920.64/x
  3. Step 3: Cross multiply
    8,165.36x = 11,248.20 × 5,920.64
  4. Step 4: Simplify right side
    8,165.36x = 66,596,542.85
  5. Step 5: Solve for x
    x = 66,596,542.85/8,165.36
  6. Step 6: Final answer
    x = 8,155.98

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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.