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Finding the Fourth Proportional to 8,122.66, 12,210.12 and 7,544.92

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Solution

The fourth proportional to 8,122.66, 12,210.12 and 7,544.92 is: 11,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.66 : 12,210.12 = 7,544.92 : x
  2. Step 2: Convert to fraction form
    8,122.66/12,210.12 = 7,544.92/x
  3. Step 3: Cross multiply
    8,122.66x = 12,210.12 × 7,544.92
  4. Step 4: Simplify right side
    8,122.66x = 92,124,378.59
  5. Step 5: Solve for x
    x = 92,124,378.59/8,122.66
  6. Step 6: Final answer
    x = 11,341.65

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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.