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Finding the Fourth Proportional to 7,115.16, 9,817.38 and 4,282.20

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Solution

The fourth proportional to 7,115.16, 9,817.38 and 4,282.20 is: 5,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.16 : 9,817.38 = 4,282.20 : x
  2. Step 2: Convert to fraction form
    7,115.16/9,817.38 = 4,282.20/x
  3. Step 3: Cross multiply
    7,115.16x = 9,817.38 × 4,282.20
  4. Step 4: Simplify right side
    7,115.16x = 42,039,984.64
  5. Step 5: Solve for x
    x = 42,039,984.64/7,115.16
  6. Step 6: Final answer
    x = 5,908.51

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Why These Related Problems?

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