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Finding the Fourth Proportional to 6,838.49, 10,259.10 and 2,159.22

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Solution

The fourth proportional to 6,838.49, 10,259.10 and 2,159.22 is: 3,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.49 : 10,259.10 = 2,159.22 : x
  2. Step 2: Convert to fraction form
    6,838.49/10,259.10 = 2,159.22/x
  3. Step 3: Cross multiply
    6,838.49x = 10,259.10 × 2,159.22
  4. Step 4: Simplify right side
    6,838.49x = 22,151,653.90
  5. Step 5: Solve for x
    x = 22,151,653.90/6,838.49
  6. Step 6: Final answer
    x = 3,239.26

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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.