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Finding the Fourth Proportional to 7,061.08, 10,583.90 and 3,766

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Solution

The fourth proportional to 7,061.08, 10,583.90 and 3,766 is: 5,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.08 : 10,583.90 = 3,766 : x
  2. Step 2: Convert to fraction form
    7,061.08/10,583.90 = 3,766/x
  3. Step 3: Cross multiply
    7,061.08x = 10,583.90 × 3,766
  4. Step 4: Simplify right side
    7,061.08x = 39,858,967.40
  5. Step 5: Solve for x
    x = 39,858,967.40/7,061.08
  6. Step 6: Final answer
    x = 5,644.88

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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.