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Finding the Fourth Proportional to 11,954.63, 17,931.80 and 5,376.17

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Solution

The fourth proportional to 11,954.63, 17,931.80 and 5,376.17 is: 8,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.63 : 17,931.80 = 5,376.17 : x
  2. Step 2: Convert to fraction form
    11,954.63/17,931.80 = 5,376.17/x
  3. Step 3: Cross multiply
    11,954.63x = 17,931.80 × 5,376.17
  4. Step 4: Simplify right side
    11,954.63x = 96,404,463.48
  5. Step 5: Solve for x
    x = 96,404,463.48/11,954.63
  6. Step 6: Final answer
    x = 8,064.19

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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.