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Finding the Fourth Proportional to 6,916.20, 10,385.10 and 4,000.20

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Solution

The fourth proportional to 6,916.20, 10,385.10 and 4,000.20 is: 6,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.20 : 10,385.10 = 4,000.20 : x
  2. Step 2: Convert to fraction form
    6,916.20/10,385.10 = 4,000.20/x
  3. Step 3: Cross multiply
    6,916.20x = 10,385.10 × 4,000.20
  4. Step 4: Simplify right side
    6,916.20x = 41,542,477.02
  5. Step 5: Solve for x
    x = 41,542,477.02/6,916.20
  6. Step 6: Final answer
    x = 6,006.55

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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.