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Finding the Fourth Proportional to 11,154.61, 16,729.12 and 4,582.61

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Solution

The fourth proportional to 11,154.61, 16,729.12 and 4,582.61 is: 6,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.61 : 16,729.12 = 4,582.61 : x
  2. Step 2: Convert to fraction form
    11,154.61/16,729.12 = 4,582.61/x
  3. Step 3: Cross multiply
    11,154.61x = 16,729.12 × 4,582.61
  4. Step 4: Simplify right side
    11,154.61x = 76,663,009.69
  5. Step 5: Solve for x
    x = 76,663,009.69/11,154.61
  6. Step 6: Final answer
    x = 6,872.76

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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.