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Finding the Fourth Proportional to 6,855.97, 10,281.05 and 2,695.32

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Solution

The fourth proportional to 6,855.97, 10,281.05 and 2,695.32 is: 4,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.97 : 10,281.05 = 2,695.32 : x
  2. Step 2: Convert to fraction form
    6,855.97/10,281.05 = 2,695.32/x
  3. Step 3: Cross multiply
    6,855.97x = 10,281.05 × 2,695.32
  4. Step 4: Simplify right side
    6,855.97x = 27,710,726.42
  5. Step 5: Solve for x
    x = 27,710,726.42/6,855.97
  6. Step 6: Final answer
    x = 4,041.84

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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.