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Finding the Fourth Proportional to 8,260.38, 11,400.48 and 4,725

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Solution

The fourth proportional to 8,260.38, 11,400.48 and 4,725 is: 6,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.38 : 11,400.48 = 4,725 : x
  2. Step 2: Convert to fraction form
    8,260.38/11,400.48 = 4,725/x
  3. Step 3: Cross multiply
    8,260.38x = 11,400.48 × 4,725
  4. Step 4: Simplify right side
    8,260.38x = 53,867,268
  5. Step 5: Solve for x
    x = 53,867,268/8,260.38
  6. Step 6: Final answer
    x = 6,521.16

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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.