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Finding the Fourth Proportional to 11,663.68, 16,095.75 and 6,358.38

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Solution

The fourth proportional to 11,663.68, 16,095.75 and 6,358.38 is: 8,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.68 : 16,095.75 = 6,358.38 : x
  2. Step 2: Convert to fraction form
    11,663.68/16,095.75 = 6,358.38/x
  3. Step 3: Cross multiply
    11,663.68x = 16,095.75 × 6,358.38
  4. Step 4: Simplify right side
    11,663.68x = 102,342,782.61
  5. Step 5: Solve for x
    x = 102,342,782.61/11,663.68
  6. Step 6: Final answer
    x = 8,774.49

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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.