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Finding the Fourth Proportional to 11,381.72, 15,709.41 and 7,395.91

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Solution

The fourth proportional to 11,381.72, 15,709.41 and 7,395.91 is: 10,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.72 : 15,709.41 = 7,395.91 : x
  2. Step 2: Convert to fraction form
    11,381.72/15,709.41 = 7,395.91/x
  3. Step 3: Cross multiply
    11,381.72x = 15,709.41 × 7,395.91
  4. Step 4: Simplify right side
    11,381.72x = 116,185,343.24
  5. Step 5: Solve for x
    x = 116,185,343.24/11,381.72
  6. Step 6: Final answer
    x = 10,208.07

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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.