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Finding the Fourth Proportional to 7,137.60, 9,846.78 and 4,480.80

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Solution

The fourth proportional to 7,137.60, 9,846.78 and 4,480.80 is: 6,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.60 : 9,846.78 = 4,480.80 : x
  2. Step 2: Convert to fraction form
    7,137.60/9,846.78 = 4,480.80/x
  3. Step 3: Cross multiply
    7,137.60x = 9,846.78 × 4,480.80
  4. Step 4: Simplify right side
    7,137.60x = 44,121,451.82
  5. Step 5: Solve for x
    x = 44,121,451.82/7,137.60
  6. Step 6: Final answer
    x = 6,181.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.