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Finding the Fourth Proportional to 6,869.36, 10,293.17 and 5,220.87

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Solution

The fourth proportional to 6,869.36, 10,293.17 and 5,220.87 is: 7,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.36 : 10,293.17 = 5,220.87 : x
  2. Step 2: Convert to fraction form
    6,869.36/10,293.17 = 5,220.87/x
  3. Step 3: Cross multiply
    6,869.36x = 10,293.17 × 5,220.87
  4. Step 4: Simplify right side
    6,869.36x = 53,739,276.35
  5. Step 5: Solve for x
    x = 53,739,276.35/6,869.36
  6. Step 6: Final answer
    x = 7,823.05

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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.