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Finding the Fourth Proportional to 11,262.96, 16,898.76 and 4,338

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Solution

The fourth proportional to 11,262.96, 16,898.76 and 4,338 is: 6,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.96 : 16,898.76 = 4,338 : x
  2. Step 2: Convert to fraction form
    11,262.96/16,898.76 = 4,338/x
  3. Step 3: Cross multiply
    11,262.96x = 16,898.76 × 4,338
  4. Step 4: Simplify right side
    11,262.96x = 73,306,820.88
  5. Step 5: Solve for x
    x = 73,306,820.88/11,262.96
  6. Step 6: Final answer
    x = 6,508.66

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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.