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Finding the Fourth Proportional to 11,601.38, 16,009.98 and 6,565.80

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Solution

The fourth proportional to 11,601.38, 16,009.98 and 6,565.80 is: 9,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.38 : 16,009.98 = 6,565.80 : x
  2. Step 2: Convert to fraction form
    11,601.38/16,009.98 = 6,565.80/x
  3. Step 3: Cross multiply
    11,601.38x = 16,009.98 × 6,565.80
  4. Step 4: Simplify right side
    11,601.38x = 105,118,326.68
  5. Step 5: Solve for x
    x = 105,118,326.68/11,601.38
  6. Step 6: Final answer
    x = 9,060.85

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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.