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Finding the Fourth Proportional to 6,833.06, 10,255.16 and 3,547.09

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Solution

The fourth proportional to 6,833.06, 10,255.16 and 3,547.09 is: 5,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.06 : 10,255.16 = 3,547.09 : x
  2. Step 2: Convert to fraction form
    6,833.06/10,255.16 = 3,547.09/x
  3. Step 3: Cross multiply
    6,833.06x = 10,255.16 × 3,547.09
  4. Step 4: Simplify right side
    6,833.06x = 36,375,977.22
  5. Step 5: Solve for x
    x = 36,375,977.22/6,833.06
  6. Step 6: Final answer
    x = 5,323.53

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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.