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Finding the Fourth Proportional to 8,223.42, 12,336.33 and 2,599.19

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Solution

The fourth proportional to 8,223.42, 12,336.33 and 2,599.19 is: 3,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.42 : 12,336.33 = 2,599.19 : x
  2. Step 2: Convert to fraction form
    8,223.42/12,336.33 = 2,599.19/x
  3. Step 3: Cross multiply
    8,223.42x = 12,336.33 × 2,599.19
  4. Step 4: Simplify right side
    8,223.42x = 32,064,459.90
  5. Step 5: Solve for x
    x = 32,064,459.90/8,223.42
  6. Step 6: Final answer
    x = 3,899.16

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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.