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Finding the Fourth Proportional to 8,032.70, 12,033.44 and 5,920.50

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Solution

The fourth proportional to 8,032.70, 12,033.44 and 5,920.50 is: 8,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.70 : 12,033.44 = 5,920.50 : x
  2. Step 2: Convert to fraction form
    8,032.70/12,033.44 = 5,920.50/x
  3. Step 3: Cross multiply
    8,032.70x = 12,033.44 × 5,920.50
  4. Step 4: Simplify right side
    8,032.70x = 71,243,981.52
  5. Step 5: Solve for x
    x = 71,243,981.52/8,032.70
  6. Step 6: Final answer
    x = 8,869.24

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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.