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Finding the Fourth Proportional to 8,225.46, 12,338.16 and 2,382.06

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Solution

The fourth proportional to 8,225.46, 12,338.16 and 2,382.06 is: 3,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.46 : 12,338.16 = 2,382.06 : x
  2. Step 2: Convert to fraction form
    8,225.46/12,338.16 = 2,382.06/x
  3. Step 3: Cross multiply
    8,225.46x = 12,338.16 × 2,382.06
  4. Step 4: Simplify right side
    8,225.46x = 29,390,237.41
  5. Step 5: Solve for x
    x = 29,390,237.41/8,225.46
  6. Step 6: Final answer
    x = 3,573.08

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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.