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Finding the Fourth Proportional to 10,261, 15,393.92 and 3,335.52

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Solution

The fourth proportional to 10,261, 15,393.92 and 3,335.52 is: 5,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261 : 15,393.92 = 3,335.52 : x
  2. Step 2: Convert to fraction form
    10,261/15,393.92 = 3,335.52/x
  3. Step 3: Cross multiply
    10,261x = 15,393.92 × 3,335.52
  4. Step 4: Simplify right side
    10,261x = 51,346,728.04
  5. Step 5: Solve for x
    x = 51,346,728.04/10,261
  6. Step 6: Final answer
    x = 5,004.07

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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.