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Finding the Fourth Proportional to 7,430, 11,150.12 and 2,566

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Solution

The fourth proportional to 7,430, 11,150.12 and 2,566 is: 3,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 11,150.12 = 2,566 : x
  2. Step 2: Convert to fraction form
    7,430/11,150.12 = 2,566/x
  3. Step 3: Cross multiply
    7,430x = 11,150.12 × 2,566
  4. Step 4: Simplify right side
    7,430x = 28,611,207.92
  5. Step 5: Solve for x
    x = 28,611,207.92/7,430
  6. Step 6: Final answer
    x = 3,850.77

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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.