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Finding the Fourth Proportional to 7,120.80, 9,825.84 and 4,137.12

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Solution

The fourth proportional to 7,120.80, 9,825.84 and 4,137.12 is: 5,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.80 : 9,825.84 = 4,137.12 : x
  2. Step 2: Convert to fraction form
    7,120.80/9,825.84 = 4,137.12/x
  3. Step 3: Cross multiply
    7,120.80x = 9,825.84 × 4,137.12
  4. Step 4: Simplify right side
    7,120.80x = 40,650,679.18
  5. Step 5: Solve for x
    x = 40,650,679.18/7,120.80
  6. Step 6: Final answer
    x = 5,708.72

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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.