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Finding the Fourth Proportional to 6,800.87, 10,199.64 and 5,316.42

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Solution

The fourth proportional to 6,800.87, 10,199.64 and 5,316.42 is: 7,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.87 : 10,199.64 = 5,316.42 : x
  2. Step 2: Convert to fraction form
    6,800.87/10,199.64 = 5,316.42/x
  3. Step 3: Cross multiply
    6,800.87x = 10,199.64 × 5,316.42
  4. Step 4: Simplify right side
    6,800.87x = 54,225,519.09
  5. Step 5: Solve for x
    x = 54,225,519.09/6,800.87
  6. Step 6: Final answer
    x = 7,973.32

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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.