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Finding the Fourth Proportional to 7,297.60, 10,943.70 and 2,367.40

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Solution

The fourth proportional to 7,297.60, 10,943.70 and 2,367.40 is: 3,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.60 : 10,943.70 = 2,367.40 : x
  2. Step 2: Convert to fraction form
    7,297.60/10,943.70 = 2,367.40/x
  3. Step 3: Cross multiply
    7,297.60x = 10,943.70 × 2,367.40
  4. Step 4: Simplify right side
    7,297.60x = 25,908,115.38
  5. Step 5: Solve for x
    x = 25,908,115.38/7,297.60
  6. Step 6: Final answer
    x = 3,550.22

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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.