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Finding the Fourth Proportional to 6,560.83, 9,833.02 and 5,168.67

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Solution

The fourth proportional to 6,560.83, 9,833.02 and 5,168.67 is: 7,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.83 : 9,833.02 = 5,168.67 : x
  2. Step 2: Convert to fraction form
    6,560.83/9,833.02 = 5,168.67/x
  3. Step 3: Cross multiply
    6,560.83x = 9,833.02 × 5,168.67
  4. Step 4: Simplify right side
    6,560.83x = 50,823,635.48
  5. Step 5: Solve for x
    x = 50,823,635.48/6,560.83
  6. Step 6: Final answer
    x = 7,746.53

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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.