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Finding the Fourth Proportional to 6,920.88, 10,385.37 and 2,538.65

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Solution

The fourth proportional to 6,920.88, 10,385.37 and 2,538.65 is: 3,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.88 : 10,385.37 = 2,538.65 : x
  2. Step 2: Convert to fraction form
    6,920.88/10,385.37 = 2,538.65/x
  3. Step 3: Cross multiply
    6,920.88x = 10,385.37 × 2,538.65
  4. Step 4: Simplify right side
    6,920.88x = 26,364,767.62
  5. Step 5: Solve for x
    x = 26,364,767.62/6,920.88
  6. Step 6: Final answer
    x = 3,809.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.