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Finding the Fourth Proportional to 11,362.72, 15,677.40 and 7,327.84

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Solution

The fourth proportional to 11,362.72, 15,677.40 and 7,327.84 is: 10,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.72 : 15,677.40 = 7,327.84 : x
  2. Step 2: Convert to fraction form
    11,362.72/15,677.40 = 7,327.84/x
  3. Step 3: Cross multiply
    11,362.72x = 15,677.40 × 7,327.84
  4. Step 4: Simplify right side
    11,362.72x = 114,881,478.82
  5. Step 5: Solve for x
    x = 114,881,478.82/11,362.72
  6. Step 6: Final answer
    x = 10,110.39

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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.