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Finding the Fourth Proportional to 8,230.16, 11,362.92 and 7,344.44

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Solution

The fourth proportional to 8,230.16, 11,362.92 and 7,344.44 is: 10,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.16 : 11,362.92 = 7,344.44 : x
  2. Step 2: Convert to fraction form
    8,230.16/11,362.92 = 7,344.44/x
  3. Step 3: Cross multiply
    8,230.16x = 11,362.92 × 7,344.44
  4. Step 4: Simplify right side
    8,230.16x = 83,454,284.16
  5. Step 5: Solve for x
    x = 83,454,284.16/8,230.16
  6. Step 6: Final answer
    x = 10,140.06

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1.5x scale

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.