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Finding the Fourth Proportional to 8,188.16, 12,292.50 and 6,564.92

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Solution

The fourth proportional to 8,188.16, 12,292.50 and 6,564.92 is: 9,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.16 : 12,292.50 = 6,564.92 : x
  2. Step 2: Convert to fraction form
    8,188.16/12,292.50 = 6,564.92/x
  3. Step 3: Cross multiply
    8,188.16x = 12,292.50 × 6,564.92
  4. Step 4: Simplify right side
    8,188.16x = 80,699,279.10
  5. Step 5: Solve for x
    x = 80,699,279.10/8,188.16
  6. Step 6: Final answer
    x = 9,855.61

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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.