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Finding the Fourth Proportional to 7,496.75, 11,230.81 and 4,199.87

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Solution

The fourth proportional to 7,496.75, 11,230.81 and 4,199.87 is: 6,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.75 : 11,230.81 = 4,199.87 : x
  2. Step 2: Convert to fraction form
    7,496.75/11,230.81 = 4,199.87/x
  3. Step 3: Cross multiply
    7,496.75x = 11,230.81 × 4,199.87
  4. Step 4: Simplify right side
    7,496.75x = 47,167,875.34
  5. Step 5: Solve for x
    x = 47,167,875.34/7,496.75
  6. Step 6: Final answer
    x = 6,291.78

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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.