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Finding the Fourth Proportional to 6,705.63, 10,058.72 and 3,193.83

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Solution

The fourth proportional to 6,705.63, 10,058.72 and 3,193.83 is: 4,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.63 : 10,058.72 = 3,193.83 : x
  2. Step 2: Convert to fraction form
    6,705.63/10,058.72 = 3,193.83/x
  3. Step 3: Cross multiply
    6,705.63x = 10,058.72 × 3,193.83
  4. Step 4: Simplify right side
    6,705.63x = 32,125,825.73
  5. Step 5: Solve for x
    x = 32,125,825.73/6,705.63
  6. Step 6: Final answer
    x = 4,790.87

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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.