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Finding the Fourth Proportional to 6,802.13, 10,203.24 and 2,642.60

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Solution

The fourth proportional to 6,802.13, 10,203.24 and 2,642.60 is: 3,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.13 : 10,203.24 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    6,802.13/10,203.24 = 2,642.60/x
  3. Step 3: Cross multiply
    6,802.13x = 10,203.24 × 2,642.60
  4. Step 4: Simplify right side
    6,802.13x = 26,963,082.02
  5. Step 5: Solve for x
    x = 26,963,082.02/6,802.13
  6. Step 6: Final answer
    x = 3,963.92

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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.