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Finding the Fourth Proportional to 6,802.71, 10,200.26 and 2,358.30

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Solution

The fourth proportional to 6,802.71, 10,200.26 and 2,358.30 is: 3,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.71 : 10,200.26 = 2,358.30 : x
  2. Step 2: Convert to fraction form
    6,802.71/10,200.26 = 2,358.30/x
  3. Step 3: Cross multiply
    6,802.71x = 10,200.26 × 2,358.30
  4. Step 4: Simplify right side
    6,802.71x = 24,055,261.37
  5. Step 5: Solve for x
    x = 24,055,261.37/6,802.71
  6. Step 6: Final answer
    x = 3,536.13

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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.