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Finding the Fourth Proportional to 11,748.84, 16,214.15 and 6,645.61

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Solution

The fourth proportional to 11,748.84, 16,214.15 and 6,645.61 is: 9,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.84 : 16,214.15 = 6,645.61 : x
  2. Step 2: Convert to fraction form
    11,748.84/16,214.15 = 6,645.61/x
  3. Step 3: Cross multiply
    11,748.84x = 16,214.15 × 6,645.61
  4. Step 4: Simplify right side
    11,748.84x = 107,752,935.57
  5. Step 5: Solve for x
    x = 107,752,935.57/11,748.84
  6. Step 6: Final answer
    x = 9,171.37

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