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Finding the Fourth Proportional to 11,651.52, 17,474.22 and 7,953.06

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Solution

The fourth proportional to 11,651.52, 17,474.22 and 7,953.06 is: 11,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.52 : 17,474.22 = 7,953.06 : x
  2. Step 2: Convert to fraction form
    11,651.52/17,474.22 = 7,953.06/x
  3. Step 3: Cross multiply
    11,651.52x = 17,474.22 × 7,953.06
  4. Step 4: Simplify right side
    11,651.52x = 138,973,520.11
  5. Step 5: Solve for x
    x = 138,973,520.11/11,651.52
  6. Step 6: Final answer
    x = 11,927.50

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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.