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Finding the Fourth Proportional to 8,044.40, 12,077.40 and 5,135.60

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Solution

The fourth proportional to 8,044.40, 12,077.40 and 5,135.60 is: 7,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.40 : 12,077.40 = 5,135.60 : x
  2. Step 2: Convert to fraction form
    8,044.40/12,077.40 = 5,135.60/x
  3. Step 3: Cross multiply
    8,044.40x = 12,077.40 × 5,135.60
  4. Step 4: Simplify right side
    8,044.40x = 62,024,695.44
  5. Step 5: Solve for x
    x = 62,024,695.44/8,044.40
  6. Step 6: Final answer
    x = 7,710.29

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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.