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Finding the Fourth Proportional to 11,601.80, 16,009.41 and 6,565.21

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Solution

The fourth proportional to 11,601.80, 16,009.41 and 6,565.21 is: 9,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.80 : 16,009.41 = 6,565.21 : x
  2. Step 2: Convert to fraction form
    11,601.80/16,009.41 = 6,565.21/x
  3. Step 3: Cross multiply
    11,601.80x = 16,009.41 × 6,565.21
  4. Step 4: Simplify right side
    11,601.80x = 105,105,138.63
  5. Step 5: Solve for x
    x = 105,105,138.63/11,601.80
  6. Step 6: Final answer
    x = 9,059.38

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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.