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Finding the Fourth Proportional to 8,133.85, 12,214.68 and 5,032.18

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Solution

The fourth proportional to 8,133.85, 12,214.68 and 5,032.18 is: 7,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.85 : 12,214.68 = 5,032.18 : x
  2. Step 2: Convert to fraction form
    8,133.85/12,214.68 = 5,032.18/x
  3. Step 3: Cross multiply
    8,133.85x = 12,214.68 × 5,032.18
  4. Step 4: Simplify right side
    8,133.85x = 61,466,468.40
  5. Step 5: Solve for x
    x = 61,466,468.40/8,133.85
  6. Step 6: Final answer
    x = 7,556.87

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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.