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Finding the Fourth Proportional to 7,323, 10,105.74 and 4,011

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Solution

The fourth proportional to 7,323, 10,105.74 and 4,011 is: 5,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323 : 10,105.74 = 4,011 : x
  2. Step 2: Convert to fraction form
    7,323/10,105.74 = 4,011/x
  3. Step 3: Cross multiply
    7,323x = 10,105.74 × 4,011
  4. Step 4: Simplify right side
    7,323x = 40,534,123.14
  5. Step 5: Solve for x
    x = 40,534,123.14/7,323
  6. Step 6: Final answer
    x = 5,535.18

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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.