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Finding the Fourth Proportional to 8,199.75, 12,235.67 and 7,316.18

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Solution

The fourth proportional to 8,199.75, 12,235.67 and 7,316.18 is: 10,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.75 : 12,235.67 = 7,316.18 : x
  2. Step 2: Convert to fraction form
    8,199.75/12,235.67 = 7,316.18/x
  3. Step 3: Cross multiply
    8,199.75x = 12,235.67 × 7,316.18
  4. Step 4: Simplify right side
    8,199.75x = 89,518,266.38
  5. Step 5: Solve for x
    x = 89,518,266.38/8,199.75
  6. Step 6: Final answer
    x = 10,917.20

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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.