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Finding the Fourth Proportional to 7,531.29, 11,295.09 and 5,883.75

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Solution

The fourth proportional to 7,531.29, 11,295.09 and 5,883.75 is: 8,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.29 : 11,295.09 = 5,883.75 : x
  2. Step 2: Convert to fraction form
    7,531.29/11,295.09 = 5,883.75/x
  3. Step 3: Cross multiply
    7,531.29x = 11,295.09 × 5,883.75
  4. Step 4: Simplify right side
    7,531.29x = 66,457,485.79
  5. Step 5: Solve for x
    x = 66,457,485.79/7,531.29
  6. Step 6: Final answer
    x = 8,824.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.