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Finding the Fourth Proportional to 11,748.53, 16,214.01 and 6,444.38

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Solution

The fourth proportional to 11,748.53, 16,214.01 and 6,444.38 is: 8,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.53 : 16,214.01 = 6,444.38 : x
  2. Step 2: Convert to fraction form
    11,748.53/16,214.01 = 6,444.38/x
  3. Step 3: Cross multiply
    11,748.53x = 16,214.01 × 6,444.38
  4. Step 4: Simplify right side
    11,748.53x = 104,489,166.93
  5. Step 5: Solve for x
    x = 104,489,166.93/11,748.53
  6. Step 6: Final answer
    x = 8,893.81

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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.