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Finding the Fourth Proportional to 11,758.34, 17,644.41 and 4,367.93

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Solution

The fourth proportional to 11,758.34, 17,644.41 and 4,367.93 is: 6,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.34 : 17,644.41 = 4,367.93 : x
  2. Step 2: Convert to fraction form
    11,758.34/17,644.41 = 4,367.93/x
  3. Step 3: Cross multiply
    11,758.34x = 17,644.41 × 4,367.93
  4. Step 4: Simplify right side
    11,758.34x = 77,069,459.55
  5. Step 5: Solve for x
    x = 77,069,459.55/11,758.34
  6. Step 6: Final answer
    x = 6,554.45

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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.