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Finding the Fourth Proportional to 6,810.90, 10,216.35 and 2,912.57

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Solution

The fourth proportional to 6,810.90, 10,216.35 and 2,912.57 is: 4,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.90 : 10,216.35 = 2,912.57 : x
  2. Step 2: Convert to fraction form
    6,810.90/10,216.35 = 2,912.57/x
  3. Step 3: Cross multiply
    6,810.90x = 10,216.35 × 2,912.57
  4. Step 4: Simplify right side
    6,810.90x = 29,755,834.52
  5. Step 5: Solve for x
    x = 29,755,834.52/6,810.90
  6. Step 6: Final answer
    x = 4,368.86

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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.