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Finding the Fourth Proportional to 8,568.47, 12,852.66 and 4,409.66

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Solution

The fourth proportional to 8,568.47, 12,852.66 and 4,409.66 is: 6,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.47 : 12,852.66 = 4,409.66 : x
  2. Step 2: Convert to fraction form
    8,568.47/12,852.66 = 4,409.66/x
  3. Step 3: Cross multiply
    8,568.47x = 12,852.66 × 4,409.66
  4. Step 4: Simplify right side
    8,568.47x = 56,675,860.70
  5. Step 5: Solve for x
    x = 56,675,860.70/8,568.47
  6. Step 6: Final answer
    x = 6,614.47

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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.