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Finding the Fourth Proportional to 10,851.66, 14,974.47 and 6,136.38

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Solution

The fourth proportional to 10,851.66, 14,974.47 and 6,136.38 is: 8,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.66 : 14,974.47 = 6,136.38 : x
  2. Step 2: Convert to fraction form
    10,851.66/14,974.47 = 6,136.38/x
  3. Step 3: Cross multiply
    10,851.66x = 14,974.47 × 6,136.38
  4. Step 4: Simplify right side
    10,851.66x = 91,889,038.22
  5. Step 5: Solve for x
    x = 91,889,038.22/10,851.66
  6. Step 6: Final answer
    x = 8,467.74

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Why These Related Problems?

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