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Finding the Fourth Proportional to 8,568.18, 12,852.54 and 5,103

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Solution

The fourth proportional to 8,568.18, 12,852.54 and 5,103 is: 7,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.18 : 12,852.54 = 5,103 : x
  2. Step 2: Convert to fraction form
    8,568.18/12,852.54 = 5,103/x
  3. Step 3: Cross multiply
    8,568.18x = 12,852.54 × 5,103
  4. Step 4: Simplify right side
    8,568.18x = 65,586,511.62
  5. Step 5: Solve for x
    x = 65,586,511.62/8,568.18
  6. Step 6: Final answer
    x = 7,654.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.