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Finding the Fourth Proportional to 11,710.32, 16,159.68 and 6,404.82

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Solution

The fourth proportional to 11,710.32, 16,159.68 and 6,404.82 is: 8,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.32 : 16,159.68 = 6,404.82 : x
  2. Step 2: Convert to fraction form
    11,710.32/16,159.68 = 6,404.82/x
  3. Step 3: Cross multiply
    11,710.32x = 16,159.68 × 6,404.82
  4. Step 4: Simplify right side
    11,710.32x = 103,499,841.66
  5. Step 5: Solve for x
    x = 103,499,841.66/11,710.32
  6. Step 6: Final answer
    x = 8,838.34

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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.