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Finding the Fourth Proportional to 11,747.76, 16,212.14 and 6,442.59

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Solution

The fourth proportional to 11,747.76, 16,212.14 and 6,442.59 is: 8,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.76 : 16,212.14 = 6,442.59 : x
  2. Step 2: Convert to fraction form
    11,747.76/16,212.14 = 6,442.59/x
  3. Step 3: Cross multiply
    11,747.76x = 16,212.14 × 6,442.59
  4. Step 4: Simplify right side
    11,747.76x = 104,448,171.04
  5. Step 5: Solve for x
    x = 104,448,171.04/11,747.76
  6. Step 6: Final answer
    x = 8,890.90

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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.