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Finding the Fourth Proportional to 11,911.86, 16,438.95 and 6,606.56

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Solution

The fourth proportional to 11,911.86, 16,438.95 and 6,606.56 is: 9,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.86 : 16,438.95 = 6,606.56 : x
  2. Step 2: Convert to fraction form
    11,911.86/16,438.95 = 6,606.56/x
  3. Step 3: Cross multiply
    11,911.86x = 16,438.95 × 6,606.56
  4. Step 4: Simplify right side
    11,911.86x = 108,604,950.61
  5. Step 5: Solve for x
    x = 108,604,950.61/11,911.86
  6. Step 6: Final answer
    x = 9,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.