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Finding the Fourth Proportional to 11,872.24, 16,381.84 and 7,090.72

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Solution

The fourth proportional to 11,872.24, 16,381.84 and 7,090.72 is: 9,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.24 : 16,381.84 = 7,090.72 : x
  2. Step 2: Convert to fraction form
    11,872.24/16,381.84 = 7,090.72/x
  3. Step 3: Cross multiply
    11,872.24x = 16,381.84 × 7,090.72
  4. Step 4: Simplify right side
    11,872.24x = 116,159,040.52
  5. Step 5: Solve for x
    x = 116,159,040.52/11,872.24
  6. Step 6: Final answer
    x = 9,784.09

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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.