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Finding the Fourth Proportional to 11,669.04, 16,103.16 and 6,363.99

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Solution

The fourth proportional to 11,669.04, 16,103.16 and 6,363.99 is: 8,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.04 : 16,103.16 = 6,363.99 : x
  2. Step 2: Convert to fraction form
    11,669.04/16,103.16 = 6,363.99/x
  3. Step 3: Cross multiply
    11,669.04x = 16,103.16 × 6,363.99
  4. Step 4: Simplify right side
    11,669.04x = 102,480,349.21
  5. Step 5: Solve for x
    x = 102,480,349.21/11,669.04
  6. Step 6: Final answer
    x = 8,782.24

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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.