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Finding the Fourth Proportional to 11,901.53, 16,424.24 and 6,596.24

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Solution

The fourth proportional to 11,901.53, 16,424.24 and 6,596.24 is: 9,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.53 : 16,424.24 = 6,596.24 : x
  2. Step 2: Convert to fraction form
    11,901.53/16,424.24 = 6,596.24/x
  3. Step 3: Cross multiply
    11,901.53x = 16,424.24 × 6,596.24
  4. Step 4: Simplify right side
    11,901.53x = 108,338,113.76
  5. Step 5: Solve for x
    x = 108,338,113.76/11,901.53
  6. Step 6: Final answer
    x = 9,102.87

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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.