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Finding the Fourth Proportional to 8,206.45, 12,245.61 and 7,322.87

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Solution

The fourth proportional to 8,206.45, 12,245.61 and 7,322.87 is: 10,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.45 : 12,245.61 = 7,322.87 : x
  2. Step 2: Convert to fraction form
    8,206.45/12,245.61 = 7,322.87/x
  3. Step 3: Cross multiply
    8,206.45x = 12,245.61 × 7,322.87
  4. Step 4: Simplify right side
    8,206.45x = 89,673,010.10
  5. Step 5: Solve for x
    x = 89,673,010.10/8,206.45
  6. Step 6: Final answer
    x = 10,927.14

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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.