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Finding the Fourth Proportional to 11,952.17, 17,931.02 and 4,054.26

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Solution

The fourth proportional to 11,952.17, 17,931.02 and 4,054.26 is: 6,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.17 : 17,931.02 = 4,054.26 : x
  2. Step 2: Convert to fraction form
    11,952.17/17,931.02 = 4,054.26/x
  3. Step 3: Cross multiply
    11,952.17x = 17,931.02 × 4,054.26
  4. Step 4: Simplify right side
    11,952.17x = 72,696,996.87
  5. Step 5: Solve for x
    x = 72,696,996.87/11,952.17
  6. Step 6: Final answer
    x = 6,082.33

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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.