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Finding the Fourth Proportional to 6,705.60, 10,046.99 and 4,362.03

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Solution

The fourth proportional to 6,705.60, 10,046.99 and 4,362.03 is: 6,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.60 : 10,046.99 = 4,362.03 : x
  2. Step 2: Convert to fraction form
    6,705.60/10,046.99 = 4,362.03/x
  3. Step 3: Cross multiply
    6,705.60x = 10,046.99 × 4,362.03
  4. Step 4: Simplify right side
    6,705.60x = 43,825,249.98
  5. Step 5: Solve for x
    x = 43,825,249.98/6,705.60
  6. Step 6: Final answer
    x = 6,535.62

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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.