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Finding the Fourth Proportional to 7,788.80, 11,683.20 and 6,039.20

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Solution

The fourth proportional to 7,788.80, 11,683.20 and 6,039.20 is: 9,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.80 : 11,683.20 = 6,039.20 : x
  2. Step 2: Convert to fraction form
    7,788.80/11,683.20 = 6,039.20/x
  3. Step 3: Cross multiply
    7,788.80x = 11,683.20 × 6,039.20
  4. Step 4: Simplify right side
    7,788.80x = 70,557,181.44
  5. Step 5: Solve for x
    x = 70,557,181.44/7,788.80
  6. Step 6: Final answer
    x = 9,058.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.