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Finding the Fourth Proportional to 7,256, 10,884.80 and 2,324.48

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Solution

The fourth proportional to 7,256, 10,884.80 and 2,324.48 is: 3,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256 : 10,884.80 = 2,324.48 : x
  2. Step 2: Convert to fraction form
    7,256/10,884.80 = 2,324.48/x
  3. Step 3: Cross multiply
    7,256x = 10,884.80 × 2,324.48
  4. Step 4: Simplify right side
    7,256x = 25,301,499.90
  5. Step 5: Solve for x
    x = 25,301,499.90/7,256
  6. Step 6: Final answer
    x = 3,486.98

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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.