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Finding the Fourth Proportional to 11,910.74, 16,436.71 and 6,533.07

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Solution

The fourth proportional to 11,910.74, 16,436.71 and 6,533.07 is: 9,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.74 : 16,436.71 = 6,533.07 : x
  2. Step 2: Convert to fraction form
    11,910.74/16,436.71 = 6,533.07/x
  3. Step 3: Cross multiply
    11,910.74x = 16,436.71 × 6,533.07
  4. Step 4: Simplify right side
    11,910.74x = 107,382,137.46
  5. Step 5: Solve for x
    x = 107,382,137.46/11,910.74
  6. Step 6: Final answer
    x = 9,015.57

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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.