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Finding the Fourth Proportional to 11,698.75, 16,143.92 and 6,663.69

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Solution

The fourth proportional to 11,698.75, 16,143.92 and 6,663.69 is: 9,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.75 : 16,143.92 = 6,663.69 : x
  2. Step 2: Convert to fraction form
    11,698.75/16,143.92 = 6,663.69/x
  3. Step 3: Cross multiply
    11,698.75x = 16,143.92 × 6,663.69
  4. Step 4: Simplify right side
    11,698.75x = 107,578,124.71
  5. Step 5: Solve for x
    x = 107,578,124.71/11,698.75
  6. Step 6: Final answer
    x = 9,195.69

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