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Finding the Fourth Proportional to 8,032.62, 12,048.94 and 5,261.60

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Solution

The fourth proportional to 8,032.62, 12,048.94 and 5,261.60 is: 7,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.62 : 12,048.94 = 5,261.60 : x
  2. Step 2: Convert to fraction form
    8,032.62/12,048.94 = 5,261.60/x
  3. Step 3: Cross multiply
    8,032.62x = 12,048.94 × 5,261.60
  4. Step 4: Simplify right side
    8,032.62x = 63,396,702.70
  5. Step 5: Solve for x
    x = 63,396,702.70/8,032.62
  6. Step 6: Final answer
    x = 7,892.41

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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.