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Finding the Fourth Proportional to 10,663.38, 14,714.79 and 5,883.38

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Solution

The fourth proportional to 10,663.38, 14,714.79 and 5,883.38 is: 8,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.38 : 14,714.79 = 5,883.38 : x
  2. Step 2: Convert to fraction form
    10,663.38/14,714.79 = 5,883.38/x
  3. Step 3: Cross multiply
    10,663.38x = 14,714.79 × 5,883.38
  4. Step 4: Simplify right side
    10,663.38x = 86,572,627.62
  5. Step 5: Solve for x
    x = 86,572,627.62/10,663.38
  6. Step 6: Final answer
    x = 8,118.69

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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.