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Finding the Fourth Proportional to 11,981.93, 16,534.67 and 7,508.09

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Solution

The fourth proportional to 11,981.93, 16,534.67 and 7,508.09 is: 10,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.93 : 16,534.67 = 7,508.09 : x
  2. Step 2: Convert to fraction form
    11,981.93/16,534.67 = 7,508.09/x
  3. Step 3: Cross multiply
    11,981.93x = 16,534.67 × 7,508.09
  4. Step 4: Simplify right side
    11,981.93x = 124,143,670.27
  5. Step 5: Solve for x
    x = 124,143,670.27/11,981.93
  6. Step 6: Final answer
    x = 10,360.91

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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.