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Finding the Fourth Proportional to 11,594, 16,006.64 and 7,622

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Solution

The fourth proportional to 11,594, 16,006.64 and 7,622 is: 10,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594 : 16,006.64 = 7,622 : x
  2. Step 2: Convert to fraction form
    11,594/16,006.64 = 7,622/x
  3. Step 3: Cross multiply
    11,594x = 16,006.64 × 7,622
  4. Step 4: Simplify right side
    11,594x = 122,002,610.08
  5. Step 5: Solve for x
    x = 122,002,610.08/11,594
  6. Step 6: Final answer
    x = 10,522.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.