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Finding the Fourth Proportional to 11,797.62, 17,700.45 and 7,409.94

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Solution

The fourth proportional to 11,797.62, 17,700.45 and 7,409.94 is: 11,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.62 : 17,700.45 = 7,409.94 : x
  2. Step 2: Convert to fraction form
    11,797.62/17,700.45 = 7,409.94/x
  3. Step 3: Cross multiply
    11,797.62x = 17,700.45 × 7,409.94
  4. Step 4: Simplify right side
    11,797.62x = 131,159,272.47
  5. Step 5: Solve for x
    x = 131,159,272.47/11,797.62
  6. Step 6: Final answer
    x = 11,117.43

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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.