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Finding the Fourth Proportional to 6,896.68, 10,345.02 and 5,675.74

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Solution

The fourth proportional to 6,896.68, 10,345.02 and 5,675.74 is: 8,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.68 : 10,345.02 = 5,675.74 : x
  2. Step 2: Convert to fraction form
    6,896.68/10,345.02 = 5,675.74/x
  3. Step 3: Cross multiply
    6,896.68x = 10,345.02 × 5,675.74
  4. Step 4: Simplify right side
    6,896.68x = 58,715,643.81
  5. Step 5: Solve for x
    x = 58,715,643.81/6,896.68
  6. Step 6: Final answer
    x = 8,513.61

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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.