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Finding the Fourth Proportional to 6,746.68, 10,114.62 and 3,935.17

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Solution

The fourth proportional to 6,746.68, 10,114.62 and 3,935.17 is: 5,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.68 : 10,114.62 = 3,935.17 : x
  2. Step 2: Convert to fraction form
    6,746.68/10,114.62 = 3,935.17/x
  3. Step 3: Cross multiply
    6,746.68x = 10,114.62 × 3,935.17
  4. Step 4: Simplify right side
    6,746.68x = 39,802,749.19
  5. Step 5: Solve for x
    x = 39,802,749.19/6,746.68
  6. Step 6: Final answer
    x = 5,899.61

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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.