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Finding the Fourth Proportional to 7,400, 10,212 and 4,088

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Solution

The fourth proportional to 7,400, 10,212 and 4,088 is: 5,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400 : 10,212 = 4,088 : x
  2. Step 2: Convert to fraction form
    7,400/10,212 = 4,088/x
  3. Step 3: Cross multiply
    7,400x = 10,212 × 4,088
  4. Step 4: Simplify right side
    7,400x = 41,746,656
  5. Step 5: Solve for x
    x = 41,746,656/7,400
  6. Step 6: Final answer
    x = 5,641.44

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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.