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Finding the Fourth Proportional to 11,041.38, 16,564.95 and 6,686.82

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Solution

The fourth proportional to 11,041.38, 16,564.95 and 6,686.82 is: 10,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.38 : 16,564.95 = 6,686.82 : x
  2. Step 2: Convert to fraction form
    11,041.38/16,564.95 = 6,686.82/x
  3. Step 3: Cross multiply
    11,041.38x = 16,564.95 × 6,686.82
  4. Step 4: Simplify right side
    11,041.38x = 110,766,838.96
  5. Step 5: Solve for x
    x = 110,766,838.96/11,041.38
  6. Step 6: Final answer
    x = 10,031.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.