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Finding the Fourth Proportional to 11,730.90, 16,188.82 and 6,425.62

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Solution

The fourth proportional to 11,730.90, 16,188.82 and 6,425.62 is: 8,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.90 : 16,188.82 = 6,425.62 : x
  2. Step 2: Convert to fraction form
    11,730.90/16,188.82 = 6,425.62/x
  3. Step 3: Cross multiply
    11,730.90x = 16,188.82 × 6,425.62
  4. Step 4: Simplify right side
    11,730.90x = 104,023,205.57
  5. Step 5: Solve for x
    x = 104,023,205.57/11,730.90
  6. Step 6: Final answer
    x = 8,867.45

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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.