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Finding the Fourth Proportional to 11,781.68, 16,258.38 and 7,592.36

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Solution

The fourth proportional to 11,781.68, 16,258.38 and 7,592.36 is: 10,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.68 : 16,258.38 = 7,592.36 : x
  2. Step 2: Convert to fraction form
    11,781.68/16,258.38 = 7,592.36/x
  3. Step 3: Cross multiply
    11,781.68x = 16,258.38 × 7,592.36
  4. Step 4: Simplify right side
    11,781.68x = 123,439,473.98
  5. Step 5: Solve for x
    x = 123,439,473.98/11,781.68
  6. Step 6: Final answer
    x = 10,477.24

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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.