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Finding the Fourth Proportional to 7,832.87, 10,806.35 and 5,000.35

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Solution

The fourth proportional to 7,832.87, 10,806.35 and 5,000.35 is: 6,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.87 : 10,806.35 = 5,000.35 : x
  2. Step 2: Convert to fraction form
    7,832.87/10,806.35 = 5,000.35/x
  3. Step 3: Cross multiply
    7,832.87x = 10,806.35 × 5,000.35
  4. Step 4: Simplify right side
    7,832.87x = 54,035,532.22
  5. Step 5: Solve for x
    x = 54,035,532.22/7,832.87
  6. Step 6: Final answer
    x = 6,898.56

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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.