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Finding the Fourth Proportional to 8,146.55, 12,222.41 and 3,642.91

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Solution

The fourth proportional to 8,146.55, 12,222.41 and 3,642.91 is: 5,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.55 : 12,222.41 = 3,642.91 : x
  2. Step 2: Convert to fraction form
    8,146.55/12,222.41 = 3,642.91/x
  3. Step 3: Cross multiply
    8,146.55x = 12,222.41 × 3,642.91
  4. Step 4: Simplify right side
    8,146.55x = 44,525,139.61
  5. Step 5: Solve for x
    x = 44,525,139.61/8,146.55
  6. Step 6: Final answer
    x = 5,465.52

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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.