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Finding the Fourth Proportional to 10,672.12, 14,726.10 and 5,956.30

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Solution

The fourth proportional to 10,672.12, 14,726.10 and 5,956.30 is: 8,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.12 : 14,726.10 = 5,956.30 : x
  2. Step 2: Convert to fraction form
    10,672.12/14,726.10 = 5,956.30/x
  3. Step 3: Cross multiply
    10,672.12x = 14,726.10 × 5,956.30
  4. Step 4: Simplify right side
    10,672.12x = 87,713,069.43
  5. Step 5: Solve for x
    x = 87,713,069.43/10,672.12
  6. Step 6: Final answer
    x = 8,218.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.