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Finding the Fourth Proportional to 10,671.80, 14,727.09 and 5,956.08

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Solution

The fourth proportional to 10,671.80, 14,727.09 and 5,956.08 is: 8,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.80 : 14,727.09 = 5,956.08 : x
  2. Step 2: Convert to fraction form
    10,671.80/14,727.09 = 5,956.08/x
  3. Step 3: Cross multiply
    10,671.80x = 14,727.09 × 5,956.08
  4. Step 4: Simplify right side
    10,671.80x = 87,715,726.21
  5. Step 5: Solve for x
    x = 87,715,726.21/10,671.80
  6. Step 6: Final answer
    x = 8,219.40

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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.