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Finding the Fourth Proportional to 6,528.93, 9,792.98 and 2,086.48

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Solution

The fourth proportional to 6,528.93, 9,792.98 and 2,086.48 is: 3,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.93 : 9,792.98 = 2,086.48 : x
  2. Step 2: Convert to fraction form
    6,528.93/9,792.98 = 2,086.48/x
  3. Step 3: Cross multiply
    6,528.93x = 9,792.98 × 2,086.48
  4. Step 4: Simplify right side
    6,528.93x = 20,432,856.91
  5. Step 5: Solve for x
    x = 20,432,856.91/6,528.93
  6. Step 6: Final answer
    x = 3,129.59

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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.