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Finding the Fourth Proportional to 8,118.67, 12,178.06 and 2,275.28

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Solution

The fourth proportional to 8,118.67, 12,178.06 and 2,275.28 is: 3,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.67 : 12,178.06 = 2,275.28 : x
  2. Step 2: Convert to fraction form
    8,118.67/12,178.06 = 2,275.28/x
  3. Step 3: Cross multiply
    8,118.67x = 12,178.06 × 2,275.28
  4. Step 4: Simplify right side
    8,118.67x = 27,708,461.52
  5. Step 5: Solve for x
    x = 27,708,461.52/8,118.67
  6. Step 6: Final answer
    x = 3,412.93

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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.