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Finding the Fourth Proportional to 7,323, 10,105.74 and 5,335.26

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Solution

The fourth proportional to 7,323, 10,105.74 and 5,335.26 is: 7,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323 : 10,105.74 = 5,335.26 : x
  2. Step 2: Convert to fraction form
    7,323/10,105.74 = 5,335.26/x
  3. Step 3: Cross multiply
    7,323x = 10,105.74 × 5,335.26
  4. Step 4: Simplify right side
    7,323x = 53,916,750.39
  5. Step 5: Solve for x
    x = 53,916,750.39/7,323
  6. Step 6: Final answer
    x = 7,362.66

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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.