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Finding the Fourth Proportional to 6,805.62, 10,208.40 and 1,875.30

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Solution

The fourth proportional to 6,805.62, 10,208.40 and 1,875.30 is: 2,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.62 : 10,208.40 = 1,875.30 : x
  2. Step 2: Convert to fraction form
    6,805.62/10,208.40 = 1,875.30/x
  3. Step 3: Cross multiply
    6,805.62x = 10,208.40 × 1,875.30
  4. Step 4: Simplify right side
    6,805.62x = 19,143,812.52
  5. Step 5: Solve for x
    x = 19,143,812.52/6,805.62
  6. Step 6: Final answer
    x = 2,812.94

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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.