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Finding the Fourth Proportional to 7,139.16, 9,847.60 and 5,152.64

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Solution

The fourth proportional to 7,139.16, 9,847.60 and 5,152.64 is: 7,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.16 : 9,847.60 = 5,152.64 : x
  2. Step 2: Convert to fraction form
    7,139.16/9,847.60 = 5,152.64/x
  3. Step 3: Cross multiply
    7,139.16x = 9,847.60 × 5,152.64
  4. Step 4: Simplify right side
    7,139.16x = 50,741,074.97
  5. Step 5: Solve for x
    x = 50,741,074.97/7,139.16
  6. Step 6: Final answer
    x = 7,107.43

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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.