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Finding the Fourth Proportional to 11,361.72, 15,676.02 and 7,326.84

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Solution

The fourth proportional to 11,361.72, 15,676.02 and 7,326.84 is: 10,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.72 : 15,676.02 = 7,326.84 : x
  2. Step 2: Convert to fraction form
    11,361.72/15,676.02 = 7,326.84/x
  3. Step 3: Cross multiply
    11,361.72x = 15,676.02 × 7,326.84
  4. Step 4: Simplify right side
    11,361.72x = 114,855,690.38
  5. Step 5: Solve for x
    x = 114,855,690.38/11,361.72
  6. Step 6: Final answer
    x = 10,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.