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Finding the Fourth Proportional to 11,077.34, 15,288.17 and 6,361.65

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Solution

The fourth proportional to 11,077.34, 15,288.17 and 6,361.65 is: 8,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.34 : 15,288.17 = 6,361.65 : x
  2. Step 2: Convert to fraction form
    11,077.34/15,288.17 = 6,361.65/x
  3. Step 3: Cross multiply
    11,077.34x = 15,288.17 × 6,361.65
  4. Step 4: Simplify right side
    11,077.34x = 97,257,954.87
  5. Step 5: Solve for x
    x = 97,257,954.87/11,077.34
  6. Step 6: Final answer
    x = 8,779.91

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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.