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Finding the Fourth Proportional to 6,568.92, 9,835.08 and 5,110.92

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Solution

The fourth proportional to 6,568.92, 9,835.08 and 5,110.92 is: 7,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.92 : 9,835.08 = 5,110.92 : x
  2. Step 2: Convert to fraction form
    6,568.92/9,835.08 = 5,110.92/x
  3. Step 3: Cross multiply
    6,568.92x = 9,835.08 × 5,110.92
  4. Step 4: Simplify right side
    6,568.92x = 50,266,307.07
  5. Step 5: Solve for x
    x = 50,266,307.07/6,568.92
  6. Step 6: Final answer
    x = 7,652.14

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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.