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Finding the Fourth Proportional to 11,956.95, 17,939.07 and 6,117.66

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Solution

The fourth proportional to 11,956.95, 17,939.07 and 6,117.66 is: 9,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.95 : 17,939.07 = 6,117.66 : x
  2. Step 2: Convert to fraction form
    11,956.95/17,939.07 = 6,117.66/x
  3. Step 3: Cross multiply
    11,956.95x = 17,939.07 × 6,117.66
  4. Step 4: Simplify right side
    11,956.95x = 109,745,130.98
  5. Step 5: Solve for x
    x = 109,745,130.98/11,956.95
  6. Step 6: Final answer
    x = 9,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.