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Finding the Fourth Proportional to 6,816.35, 10,225.17 and 2,656.70

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Solution

The fourth proportional to 6,816.35, 10,225.17 and 2,656.70 is: 3,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.35 : 10,225.17 = 2,656.70 : x
  2. Step 2: Convert to fraction form
    6,816.35/10,225.17 = 2,656.70/x
  3. Step 3: Cross multiply
    6,816.35x = 10,225.17 × 2,656.70
  4. Step 4: Simplify right side
    6,816.35x = 27,165,196.36
  5. Step 5: Solve for x
    x = 27,165,196.36/6,816.35
  6. Step 6: Final answer
    x = 3,985.30

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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.