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Finding the Fourth Proportional to 6,898.95, 10,342.76 and 2,737.17

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Solution

The fourth proportional to 6,898.95, 10,342.76 and 2,737.17 is: 4,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.95 : 10,342.76 = 2,737.17 : x
  2. Step 2: Convert to fraction form
    6,898.95/10,342.76 = 2,737.17/x
  3. Step 3: Cross multiply
    6,898.95x = 10,342.76 × 2,737.17
  4. Step 4: Simplify right side
    6,898.95x = 28,309,878.70
  5. Step 5: Solve for x
    x = 28,309,878.70/6,898.95
  6. Step 6: Final answer
    x = 4,103.51

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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.