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Finding the Fourth Proportional to 10,916.68, 15,063.78 and 6,136.96

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Solution

The fourth proportional to 10,916.68, 15,063.78 and 6,136.96 is: 8,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.68 : 15,063.78 = 6,136.96 : x
  2. Step 2: Convert to fraction form
    10,916.68/15,063.78 = 6,136.96/x
  3. Step 3: Cross multiply
    10,916.68x = 15,063.78 × 6,136.96
  4. Step 4: Simplify right side
    10,916.68x = 92,445,815.31
  5. Step 5: Solve for x
    x = 92,445,815.31/10,916.68
  6. Step 6: Final answer
    x = 8,468.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.