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Finding the Fourth Proportional to 6,517.35, 9,776.06 and 1,587.02

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Solution

The fourth proportional to 6,517.35, 9,776.06 and 1,587.02 is: 2,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.35 : 9,776.06 = 1,587.02 : x
  2. Step 2: Convert to fraction form
    6,517.35/9,776.06 = 1,587.02/x
  3. Step 3: Cross multiply
    6,517.35x = 9,776.06 × 1,587.02
  4. Step 4: Simplify right side
    6,517.35x = 15,514,745.93
  5. Step 5: Solve for x
    x = 15,514,745.93/6,517.35
  6. Step 6: Final answer
    x = 2,380.53

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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.