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Finding the Fourth Proportional to 7,864.16, 11,800.31 and 4,353.53

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Solution

The fourth proportional to 7,864.16, 11,800.31 and 4,353.53 is: 6,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.16 : 11,800.31 = 4,353.53 : x
  2. Step 2: Convert to fraction form
    7,864.16/11,800.31 = 4,353.53/x
  3. Step 3: Cross multiply
    7,864.16x = 11,800.31 × 4,353.53
  4. Step 4: Simplify right side
    7,864.16x = 51,372,922.83
  5. Step 5: Solve for x
    x = 51,372,922.83/7,864.16
  6. Step 6: Final answer
    x = 6,532.54

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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.