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Finding the Fourth Proportional to 6,690.12, 10,035.14 and 5,230.50

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Solution

The fourth proportional to 6,690.12, 10,035.14 and 5,230.50 is: 7,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.12 : 10,035.14 = 5,230.50 : x
  2. Step 2: Convert to fraction form
    6,690.12/10,035.14 = 5,230.50/x
  3. Step 3: Cross multiply
    6,690.12x = 10,035.14 × 5,230.50
  4. Step 4: Simplify right side
    6,690.12x = 52,488,773.62
  5. Step 5: Solve for x
    x = 52,488,773.62/6,690.12
  6. Step 6: Final answer
    x = 7,845.71

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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.