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Finding the Fourth Proportional to 8,125.69, 12,187.59 and 2,282.80

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Solution

The fourth proportional to 8,125.69, 12,187.59 and 2,282.80 is: 3,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.69 : 12,187.59 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    8,125.69/12,187.59 = 2,282.80/x
  3. Step 3: Cross multiply
    8,125.69x = 12,187.59 × 2,282.80
  4. Step 4: Simplify right side
    8,125.69x = 27,821,830.45
  5. Step 5: Solve for x
    x = 27,821,830.45/8,125.69
  6. Step 6: Final answer
    x = 3,423.93

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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.