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Finding the Fourth Proportional to 8,191.04, 12,223.66 and 7,316.24

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Solution

The fourth proportional to 8,191.04, 12,223.66 and 7,316.24 is: 10,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.04 : 12,223.66 = 7,316.24 : x
  2. Step 2: Convert to fraction form
    8,191.04/12,223.66 = 7,316.24/x
  3. Step 3: Cross multiply
    8,191.04x = 12,223.66 × 7,316.24
  4. Step 4: Simplify right side
    8,191.04x = 89,431,230.24
  5. Step 5: Solve for x
    x = 89,431,230.24/8,191.04
  6. Step 6: Final answer
    x = 10,918.18

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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.