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Finding the Fourth Proportional to 11,658.99, 16,089.49 and 6,353.69

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Solution

The fourth proportional to 11,658.99, 16,089.49 and 6,353.69 is: 8,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.99 : 16,089.49 = 6,353.69 : x
  2. Step 2: Convert to fraction form
    11,658.99/16,089.49 = 6,353.69/x
  3. Step 3: Cross multiply
    11,658.99x = 16,089.49 × 6,353.69
  4. Step 4: Simplify right side
    11,658.99x = 102,227,613.98
  5. Step 5: Solve for x
    x = 102,227,613.98/11,658.99
  6. Step 6: Final answer
    x = 8,768.14

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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.