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Finding the Fourth Proportional to 8,552.64, 12,825.69 and 4,109.07

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Solution

The fourth proportional to 8,552.64, 12,825.69 and 4,109.07 is: 6,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.64 : 12,825.69 = 4,109.07 : x
  2. Step 2: Convert to fraction form
    8,552.64/12,825.69 = 4,109.07/x
  3. Step 3: Cross multiply
    8,552.64x = 12,825.69 × 4,109.07
  4. Step 4: Simplify right side
    8,552.64x = 52,701,677.74
  5. Step 5: Solve for x
    x = 52,701,677.74/8,552.64
  6. Step 6: Final answer
    x = 6,162.04

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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.