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Finding the Fourth Proportional to 8,035.22, 12,032.17 and 5,253.80

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Solution

The fourth proportional to 8,035.22, 12,032.17 and 5,253.80 is: 7,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.22 : 12,032.17 = 5,253.80 : x
  2. Step 2: Convert to fraction form
    8,035.22/12,032.17 = 5,253.80/x
  3. Step 3: Cross multiply
    8,035.22x = 12,032.17 × 5,253.80
  4. Step 4: Simplify right side
    8,035.22x = 63,214,541.45
  5. Step 5: Solve for x
    x = 63,214,541.45/8,035.22
  6. Step 6: Final answer
    x = 7,867.18

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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.