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Finding the Fourth Proportional to 11,974.11, 16,534.70 and 7,505.54

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Solution

The fourth proportional to 11,974.11, 16,534.70 and 7,505.54 is: 10,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.11 : 16,534.70 = 7,505.54 : x
  2. Step 2: Convert to fraction form
    11,974.11/16,534.70 = 7,505.54/x
  3. Step 3: Cross multiply
    11,974.11x = 16,534.70 × 7,505.54
  4. Step 4: Simplify right side
    11,974.11x = 124,101,852.24
  5. Step 5: Solve for x
    x = 124,101,852.24/11,974.11
  6. Step 6: Final answer
    x = 10,364.18

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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.