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Finding the Fourth Proportional to 6,802.35, 10,203.64 and 1,871.96

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Solution

The fourth proportional to 6,802.35, 10,203.64 and 1,871.96 is: 2,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.35 : 10,203.64 = 1,871.96 : x
  2. Step 2: Convert to fraction form
    6,802.35/10,203.64 = 1,871.96/x
  3. Step 3: Cross multiply
    6,802.35x = 10,203.64 × 1,871.96
  4. Step 4: Simplify right side
    6,802.35x = 19,100,805.93
  5. Step 5: Solve for x
    x = 19,100,805.93/6,802.35
  6. Step 6: Final answer
    x = 2,807.97

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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.