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Finding the Fourth Proportional to 8,122.17, 12,184.74 and 2,499.75

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Solution

The fourth proportional to 8,122.17, 12,184.74 and 2,499.75 is: 3,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.17 : 12,184.74 = 2,499.75 : x
  2. Step 2: Convert to fraction form
    8,122.17/12,184.74 = 2,499.75/x
  3. Step 3: Cross multiply
    8,122.17x = 12,184.74 × 2,499.75
  4. Step 4: Simplify right side
    8,122.17x = 30,458,803.82
  5. Step 5: Solve for x
    x = 30,458,803.82/8,122.17
  6. Step 6: Final answer
    x = 3,750.08

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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.