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Finding the Fourth Proportional to 6,517.03, 9,775.61 and 1,586.66

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Solution

The fourth proportional to 6,517.03, 9,775.61 and 1,586.66 is: 2,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.03 : 9,775.61 = 1,586.66 : x
  2. Step 2: Convert to fraction form
    6,517.03/9,775.61 = 1,586.66/x
  3. Step 3: Cross multiply
    6,517.03x = 9,775.61 × 1,586.66
  4. Step 4: Simplify right side
    6,517.03x = 15,510,533.54
  5. Step 5: Solve for x
    x = 15,510,533.54/6,517.03
  6. Step 6: Final answer
    x = 2,380.00

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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.