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Finding the Fourth Proportional to 11,463.27, 15,804.50 and 7,422.91

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Solution

The fourth proportional to 11,463.27, 15,804.50 and 7,422.91 is: 10,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.27 : 15,804.50 = 7,422.91 : x
  2. Step 2: Convert to fraction form
    11,463.27/15,804.50 = 7,422.91/x
  3. Step 3: Cross multiply
    11,463.27x = 15,804.50 × 7,422.91
  4. Step 4: Simplify right side
    11,463.27x = 117,315,381.10
  5. Step 5: Solve for x
    x = 117,315,381.10/11,463.27
  6. Step 6: Final answer
    x = 10,234.03

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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.