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Finding the Fourth Proportional to 8,506.51, 12,750.98 and 6,160.61

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Solution

The fourth proportional to 8,506.51, 12,750.98 and 6,160.61 is: 9,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.51 : 12,750.98 = 6,160.61 : x
  2. Step 2: Convert to fraction form
    8,506.51/12,750.98 = 6,160.61/x
  3. Step 3: Cross multiply
    8,506.51x = 12,750.98 × 6,160.61
  4. Step 4: Simplify right side
    8,506.51x = 78,553,814.90
  5. Step 5: Solve for x
    x = 78,553,814.90/8,506.51
  6. Step 6: Final answer
    x = 9,234.55

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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.