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Finding the Fourth Proportional to 10,704.44, 16,051.19 and 6,545.49

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Solution

The fourth proportional to 10,704.44, 16,051.19 and 6,545.49 is: 9,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.44 : 16,051.19 = 6,545.49 : x
  2. Step 2: Convert to fraction form
    10,704.44/16,051.19 = 6,545.49/x
  3. Step 3: Cross multiply
    10,704.44x = 16,051.19 × 6,545.49
  4. Step 4: Simplify right side
    10,704.44x = 105,062,870.91
  5. Step 5: Solve for x
    x = 105,062,870.91/10,704.44
  6. Step 6: Final answer
    x = 9,814.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.