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Finding the Fourth Proportional to 7,832.70, 10,808.99 and 4,429.66

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Solution

The fourth proportional to 7,832.70, 10,808.99 and 4,429.66 is: 6,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.70 : 10,808.99 = 4,429.66 : x
  2. Step 2: Convert to fraction form
    7,832.70/10,808.99 = 4,429.66/x
  3. Step 3: Cross multiply
    7,832.70x = 10,808.99 × 4,429.66
  4. Step 4: Simplify right side
    7,832.70x = 47,880,101.47
  5. Step 5: Solve for x
    x = 47,880,101.47/7,832.70
  6. Step 6: Final answer
    x = 6,112.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.