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Finding the Fourth Proportional to 10,782.99, 16,174.49 and 6,162.75

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Solution

The fourth proportional to 10,782.99, 16,174.49 and 6,162.75 is: 9,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.99 : 16,174.49 = 6,162.75 : x
  2. Step 2: Convert to fraction form
    10,782.99/16,174.49 = 6,162.75/x
  3. Step 3: Cross multiply
    10,782.99x = 16,174.49 × 6,162.75
  4. Step 4: Simplify right side
    10,782.99x = 99,679,307.43
  5. Step 5: Solve for x
    x = 99,679,307.43/10,782.99
  6. Step 6: Final answer
    x = 9,244.13

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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.