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Finding the Fourth Proportional to 8,205.75, 12,244.59 and 7,322.18

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Solution

The fourth proportional to 8,205.75, 12,244.59 and 7,322.18 is: 10,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.75 : 12,244.59 = 7,322.18 : x
  2. Step 2: Convert to fraction form
    8,205.75/12,244.59 = 7,322.18/x
  3. Step 3: Cross multiply
    8,205.75x = 12,244.59 × 7,322.18
  4. Step 4: Simplify right side
    8,205.75x = 89,657,030.78
  5. Step 5: Solve for x
    x = 89,657,030.78/8,205.75
  6. Step 6: Final answer
    x = 10,926.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.