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Finding the Fourth Proportional to 7,158.66, 10,739.28 and 2,227.14

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Solution

The fourth proportional to 7,158.66, 10,739.28 and 2,227.14 is: 3,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.66 : 10,739.28 = 2,227.14 : x
  2. Step 2: Convert to fraction form
    7,158.66/10,739.28 = 2,227.14/x
  3. Step 3: Cross multiply
    7,158.66x = 10,739.28 × 2,227.14
  4. Step 4: Simplify right side
    7,158.66x = 23,917,880.06
  5. Step 5: Solve for x
    x = 23,917,880.06/7,158.66
  6. Step 6: Final answer
    x = 3,341.11

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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.