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Finding the Fourth Proportional to 11,106.86, 16,663.62 and 3,315.67

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Solution

The fourth proportional to 11,106.86, 16,663.62 and 3,315.67 is: 4,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.86 : 16,663.62 = 3,315.67 : x
  2. Step 2: Convert to fraction form
    11,106.86/16,663.62 = 3,315.67/x
  3. Step 3: Cross multiply
    11,106.86x = 16,663.62 × 3,315.67
  4. Step 4: Simplify right side
    11,106.86x = 55,251,035.70
  5. Step 5: Solve for x
    x = 55,251,035.70/11,106.86
  6. Step 6: Final answer
    x = 4,974.50

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Why These Related Problems?

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