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Finding the Fourth Proportional to 6,802.64, 10,203.04 and 2,642.26

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Solution

The fourth proportional to 6,802.64, 10,203.04 and 2,642.26 is: 3,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.64 : 10,203.04 = 2,642.26 : x
  2. Step 2: Convert to fraction form
    6,802.64/10,203.04 = 2,642.26/x
  3. Step 3: Cross multiply
    6,802.64x = 10,203.04 × 2,642.26
  4. Step 4: Simplify right side
    6,802.64x = 26,959,084.47
  5. Step 5: Solve for x
    x = 26,959,084.47/6,802.64
  6. Step 6: Final answer
    x = 3,963.03

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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.