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Finding the Fourth Proportional to 11,964.61, 17,927.17 and 6,952.91

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Solution

The fourth proportional to 11,964.61, 17,927.17 and 6,952.91 is: 10,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.61 : 17,927.17 = 6,952.91 : x
  2. Step 2: Convert to fraction form
    11,964.61/17,927.17 = 6,952.91/x
  3. Step 3: Cross multiply
    11,964.61x = 17,927.17 × 6,952.91
  4. Step 4: Simplify right side
    11,964.61x = 124,646,009.62
  5. Step 5: Solve for x
    x = 124,646,009.62/11,964.61
  6. Step 6: Final answer
    x = 10,417.89

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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.