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Finding the Fourth Proportional to 7,565.25, 11,347.88 and 2,093.25

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Solution

The fourth proportional to 7,565.25, 11,347.88 and 2,093.25 is: 3,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.25 : 11,347.88 = 2,093.25 : x
  2. Step 2: Convert to fraction form
    7,565.25/11,347.88 = 2,093.25/x
  3. Step 3: Cross multiply
    7,565.25x = 11,347.88 × 2,093.25
  4. Step 4: Simplify right side
    7,565.25x = 23,753,939.34
  5. Step 5: Solve for x
    x = 23,753,939.34/7,565.25
  6. Step 6: Final answer
    x = 3,139.88

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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.