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Finding the Fourth Proportional to 10,672.54, 14,728.10 and 5,956.72

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Solution

The fourth proportional to 10,672.54, 14,728.10 and 5,956.72 is: 8,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.54 : 14,728.10 = 5,956.72 : x
  2. Step 2: Convert to fraction form
    10,672.54/14,728.10 = 5,956.72/x
  3. Step 3: Cross multiply
    10,672.54x = 14,728.10 × 5,956.72
  4. Step 4: Simplify right side
    10,672.54x = 87,731,167.83
  5. Step 5: Solve for x
    x = 87,731,167.83/10,672.54
  6. Step 6: Final answer
    x = 8,220.27

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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.