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Finding the Fourth Proportional to 11,681.72, 16,121 and 6,377

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Solution

The fourth proportional to 11,681.72, 16,121 and 6,377 is: 8,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.72 : 16,121 = 6,377 : x
  2. Step 2: Convert to fraction form
    11,681.72/16,121 = 6,377/x
  3. Step 3: Cross multiply
    11,681.72x = 16,121 × 6,377
  4. Step 4: Simplify right side
    11,681.72x = 102,803,617
  5. Step 5: Solve for x
    x = 102,803,617/11,681.72
  6. Step 6: Final answer
    x = 8,800.38

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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.