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Finding the Fourth Proportional to 7,883.16, 11,827.53 and 3,500.22

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Solution

The fourth proportional to 7,883.16, 11,827.53 and 3,500.22 is: 5,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.16 : 11,827.53 = 3,500.22 : x
  2. Step 2: Convert to fraction form
    7,883.16/11,827.53 = 3,500.22/x
  3. Step 3: Cross multiply
    7,883.16x = 11,827.53 × 3,500.22
  4. Step 4: Simplify right side
    7,883.16x = 41,398,957.06
  5. Step 5: Solve for x
    x = 41,398,957.06/7,883.16
  6. Step 6: Final answer
    x = 5,251.57

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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.