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Finding the Fourth Proportional to 11,956.87, 17,927.18 and 6,695.50

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Solution

The fourth proportional to 11,956.87, 17,927.18 and 6,695.50 is: 10,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.87 : 17,927.18 = 6,695.50 : x
  2. Step 2: Convert to fraction form
    11,956.87/17,927.18 = 6,695.50/x
  3. Step 3: Cross multiply
    11,956.87x = 17,927.18 × 6,695.50
  4. Step 4: Simplify right side
    11,956.87x = 120,031,369.16
  5. Step 5: Solve for x
    x = 120,031,369.16/11,956.87
  6. Step 6: Final answer
    x = 10,038.70

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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.