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Finding the Fourth Proportional to 11,871, 16,381.71 and 6,565.86

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Solution

The fourth proportional to 11,871, 16,381.71 and 6,565.86 is: 9,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871 : 16,381.71 = 6,565.86 : x
  2. Step 2: Convert to fraction form
    11,871/16,381.71 = 6,565.86/x
  3. Step 3: Cross multiply
    11,871x = 16,381.71 × 6,565.86
  4. Step 4: Simplify right side
    11,871x = 107,560,014.42
  5. Step 5: Solve for x
    x = 107,560,014.42/11,871
  6. Step 6: Final answer
    x = 9,060.74

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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.