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Finding the Fourth Proportional to 11,614.74, 17,422.76 and 3,717.95

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Solution

The fourth proportional to 11,614.74, 17,422.76 and 3,717.95 is: 5,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.74 : 17,422.76 = 3,717.95 : x
  2. Step 2: Convert to fraction form
    11,614.74/17,422.76 = 3,717.95/x
  3. Step 3: Cross multiply
    11,614.74x = 17,422.76 × 3,717.95
  4. Step 4: Simplify right side
    11,614.74x = 64,776,950.54
  5. Step 5: Solve for x
    x = 64,776,950.54/11,614.74
  6. Step 6: Final answer
    x = 5,577.13

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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.