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Finding the Fourth Proportional to 11,564.72, 15,958.38 and 7,087.85

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Solution

The fourth proportional to 11,564.72, 15,958.38 and 7,087.85 is: 9,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.72 : 15,958.38 = 7,087.85 : x
  2. Step 2: Convert to fraction form
    11,564.72/15,958.38 = 7,087.85/x
  3. Step 3: Cross multiply
    11,564.72x = 15,958.38 × 7,087.85
  4. Step 4: Simplify right side
    11,564.72x = 113,110,603.68
  5. Step 5: Solve for x
    x = 113,110,603.68/11,564.72
  6. Step 6: Final answer
    x = 9,780.66

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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.