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Finding the Fourth Proportional to 7,827.53, 11,733.08 and 4,865.96

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Solution

The fourth proportional to 7,827.53, 11,733.08 and 4,865.96 is: 7,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.53 : 11,733.08 = 4,865.96 : x
  2. Step 2: Convert to fraction form
    7,827.53/11,733.08 = 4,865.96/x
  3. Step 3: Cross multiply
    7,827.53x = 11,733.08 × 4,865.96
  4. Step 4: Simplify right side
    7,827.53x = 57,092,614.96
  5. Step 5: Solve for x
    x = 57,092,614.96/7,827.53
  6. Step 6: Final answer
    x = 7,293.83

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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.