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Finding the Fourth Proportional to 6,805.85, 10,202.62 and 4,726.83

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Solution

The fourth proportional to 6,805.85, 10,202.62 and 4,726.83 is: 7,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.85 : 10,202.62 = 4,726.83 : x
  2. Step 2: Convert to fraction form
    6,805.85/10,202.62 = 4,726.83/x
  3. Step 3: Cross multiply
    6,805.85x = 10,202.62 × 4,726.83
  4. Step 4: Simplify right side
    6,805.85x = 48,226,050.29
  5. Step 5: Solve for x
    x = 48,226,050.29/6,805.85
  6. Step 6: Final answer
    x = 7,085.97

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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.