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Finding the Fourth Proportional to 6,838.99, 10,254.38 and 3,136.58

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Solution

The fourth proportional to 6,838.99, 10,254.38 and 3,136.58 is: 4,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.99 : 10,254.38 = 3,136.58 : x
  2. Step 2: Convert to fraction form
    6,838.99/10,254.38 = 3,136.58/x
  3. Step 3: Cross multiply
    6,838.99x = 10,254.38 × 3,136.58
  4. Step 4: Simplify right side
    6,838.99x = 32,163,616.27
  5. Step 5: Solve for x
    x = 32,163,616.27/6,838.99
  6. Step 6: Final answer
    x = 4,702.98

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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.