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Finding the Fourth Proportional to 11,328.75, 15,634.64 and 6,361.71

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Solution

The fourth proportional to 11,328.75, 15,634.64 and 6,361.71 is: 8,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.75 : 15,634.64 = 6,361.71 : x
  2. Step 2: Convert to fraction form
    11,328.75/15,634.64 = 6,361.71/x
  3. Step 3: Cross multiply
    11,328.75x = 15,634.64 × 6,361.71
  4. Step 4: Simplify right side
    11,328.75x = 99,463,013.83
  5. Step 5: Solve for x
    x = 99,463,013.83/11,328.75
  6. Step 6: Final answer
    x = 8,779.70

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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.