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Finding the Fourth Proportional to 6,816.90, 10,230.42 and 5,065.98

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Solution

The fourth proportional to 6,816.90, 10,230.42 and 5,065.98 is: 7,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.90 : 10,230.42 = 5,065.98 : x
  2. Step 2: Convert to fraction form
    6,816.90/10,230.42 = 5,065.98/x
  3. Step 3: Cross multiply
    6,816.90x = 10,230.42 × 5,065.98
  4. Step 4: Simplify right side
    6,816.90x = 51,827,103.11
  5. Step 5: Solve for x
    x = 51,827,103.11/6,816.90
  6. Step 6: Final answer
    x = 7,602.74

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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.