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Finding the Fourth Proportional to 10,704.44, 14,769.62 and 6,225.80

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Solution

The fourth proportional to 10,704.44, 14,769.62 and 6,225.80 is: 8,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.44 : 14,769.62 = 6,225.80 : x
  2. Step 2: Convert to fraction form
    10,704.44/14,769.62 = 6,225.80/x
  3. Step 3: Cross multiply
    10,704.44x = 14,769.62 × 6,225.80
  4. Step 4: Simplify right side
    10,704.44x = 91,952,700.20
  5. Step 5: Solve for x
    x = 91,952,700.20/10,704.44
  6. Step 6: Final answer
    x = 8,590.15

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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.