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Finding the Fourth Proportional to 6,805.38, 10,208.63 and 1,875.42

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Solution

The fourth proportional to 6,805.38, 10,208.63 and 1,875.42 is: 2,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.38 : 10,208.63 = 1,875.42 : x
  2. Step 2: Convert to fraction form
    6,805.38/10,208.63 = 1,875.42/x
  3. Step 3: Cross multiply
    6,805.38x = 10,208.63 × 1,875.42
  4. Step 4: Simplify right side
    6,805.38x = 19,145,473.56
  5. Step 5: Solve for x
    x = 19,145,473.56/6,805.38
  6. Step 6: Final answer
    x = 2,813.28

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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.