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Finding the Fourth Proportional to 6,571.68, 9,835.11 and 5,117.46

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Solution

The fourth proportional to 6,571.68, 9,835.11 and 5,117.46 is: 7,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.68 : 9,835.11 = 5,117.46 : x
  2. Step 2: Convert to fraction form
    6,571.68/9,835.11 = 5,117.46/x
  3. Step 3: Cross multiply
    6,571.68x = 9,835.11 × 5,117.46
  4. Step 4: Simplify right side
    6,571.68x = 50,330,782.02
  5. Step 5: Solve for x
    x = 50,330,782.02/6,571.68
  6. Step 6: Final answer
    x = 7,658.74

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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.