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Finding the Fourth Proportional to 11,600.24, 16,007.44 and 6,820.37

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Solution

The fourth proportional to 11,600.24, 16,007.44 and 6,820.37 is: 9,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.24 : 16,007.44 = 6,820.37 : x
  2. Step 2: Convert to fraction form
    11,600.24/16,007.44 = 6,820.37/x
  3. Step 3: Cross multiply
    11,600.24x = 16,007.44 × 6,820.37
  4. Step 4: Simplify right side
    11,600.24x = 109,176,686.52
  5. Step 5: Solve for x
    x = 109,176,686.52/11,600.24
  6. Step 6: Final answer
    x = 9,411.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.