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Finding the Fourth Proportional to 11,365.52, 15,682.01 and 6,647.67

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Solution

The fourth proportional to 11,365.52, 15,682.01 and 6,647.67 is: 9,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.52 : 15,682.01 = 6,647.67 : x
  2. Step 2: Convert to fraction form
    11,365.52/15,682.01 = 6,647.67/x
  3. Step 3: Cross multiply
    11,365.52x = 15,682.01 × 6,647.67
  4. Step 4: Simplify right side
    11,365.52x = 104,248,794.18
  5. Step 5: Solve for x
    x = 104,248,794.18/11,365.52
  6. Step 6: Final answer
    x = 9,172.38

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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.