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Finding the Fourth Proportional to 11,127.96, 15,340.32 and 7,978.68

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Solution

The fourth proportional to 11,127.96, 15,340.32 and 7,978.68 is: 10,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127.96 : 15,340.32 = 7,978.68 : x
  2. Step 2: Convert to fraction form
    11,127.96/15,340.32 = 7,978.68/x
  3. Step 3: Cross multiply
    11,127.96x = 15,340.32 × 7,978.68
  4. Step 4: Simplify right side
    11,127.96x = 122,395,504.38
  5. Step 5: Solve for x
    x = 122,395,504.38/11,127.96
  6. Step 6: Final answer
    x = 10,998.92

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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.