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Finding the Fourth Proportional to 6,806.94, 10,209.24 and 1,875.48

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Solution

The fourth proportional to 6,806.94, 10,209.24 and 1,875.48 is: 2,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.94 : 10,209.24 = 1,875.48 : x
  2. Step 2: Convert to fraction form
    6,806.94/10,209.24 = 1,875.48/x
  3. Step 3: Cross multiply
    6,806.94x = 10,209.24 × 1,875.48
  4. Step 4: Simplify right side
    6,806.94x = 19,147,225.44
  5. Step 5: Solve for x
    x = 19,147,225.44/6,806.94
  6. Step 6: Final answer
    x = 2,812.90

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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.