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Finding the Fourth Proportional to 8,064.16, 12,100.96 and 4,509.28

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Solution

The fourth proportional to 8,064.16, 12,100.96 and 4,509.28 is: 6,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.16 : 12,100.96 = 4,509.28 : x
  2. Step 2: Convert to fraction form
    8,064.16/12,100.96 = 4,509.28/x
  3. Step 3: Cross multiply
    8,064.16x = 12,100.96 × 4,509.28
  4. Step 4: Simplify right side
    8,064.16x = 54,566,616.91
  5. Step 5: Solve for x
    x = 54,566,616.91/8,064.16
  6. Step 6: Final answer
    x = 6,766.56

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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.