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Finding the Fourth Proportional to 6,806.71, 10,210.07 and 2,858.57

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Solution

The fourth proportional to 6,806.71, 10,210.07 and 2,858.57 is: 4,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.71 : 10,210.07 = 2,858.57 : x
  2. Step 2: Convert to fraction form
    6,806.71/10,210.07 = 2,858.57/x
  3. Step 3: Cross multiply
    6,806.71x = 10,210.07 × 2,858.57
  4. Step 4: Simplify right side
    6,806.71x = 29,186,178.10
  5. Step 5: Solve for x
    x = 29,186,178.10/6,806.71
  6. Step 6: Final answer
    x = 4,287.85

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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.