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Finding the Fourth Proportional to 11,165.05, 15,408.54 and 7,381.64

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Solution

The fourth proportional to 11,165.05, 15,408.54 and 7,381.64 is: 10,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.05 : 15,408.54 = 7,381.64 : x
  2. Step 2: Convert to fraction form
    11,165.05/15,408.54 = 7,381.64/x
  3. Step 3: Cross multiply
    11,165.05x = 15,408.54 × 7,381.64
  4. Step 4: Simplify right side
    11,165.05x = 113,740,218.16
  5. Step 5: Solve for x
    x = 113,740,218.16/11,165.05
  6. Step 6: Final answer
    x = 10,187.17

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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.