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Finding the Fourth Proportional to 8,088.64, 11,162.24 and 4,552.48

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Solution

The fourth proportional to 8,088.64, 11,162.24 and 4,552.48 is: 6,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.64 : 11,162.24 = 4,552.48 : x
  2. Step 2: Convert to fraction form
    8,088.64/11,162.24 = 4,552.48/x
  3. Step 3: Cross multiply
    8,088.64x = 11,162.24 × 4,552.48
  4. Step 4: Simplify right side
    8,088.64x = 50,815,874.36
  5. Step 5: Solve for x
    x = 50,815,874.36/8,088.64
  6. Step 6: Final answer
    x = 6,282.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.