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Finding the Fourth Proportional to 11,487.92, 15,859.36 and 7,730.84

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Solution

The fourth proportional to 11,487.92, 15,859.36 and 7,730.84 is: 10,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.92 : 15,859.36 = 7,730.84 : x
  2. Step 2: Convert to fraction form
    11,487.92/15,859.36 = 7,730.84/x
  3. Step 3: Cross multiply
    11,487.92x = 15,859.36 × 7,730.84
  4. Step 4: Simplify right side
    11,487.92x = 122,606,174.66
  5. Step 5: Solve for x
    x = 122,606,174.66/11,487.92
  6. Step 6: Final answer
    x = 10,672.62

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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.