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Finding the Fourth Proportional to 8,199.42, 12,299.16 and 2,356.04

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Solution

The fourth proportional to 8,199.42, 12,299.16 and 2,356.04 is: 3,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.42 : 12,299.16 = 2,356.04 : x
  2. Step 2: Convert to fraction form
    8,199.42/12,299.16 = 2,356.04/x
  3. Step 3: Cross multiply
    8,199.42x = 12,299.16 × 2,356.04
  4. Step 4: Simplify right side
    8,199.42x = 28,977,312.93
  5. Step 5: Solve for x
    x = 28,977,312.93/8,199.42
  6. Step 6: Final answer
    x = 3,534.07

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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.