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Finding the Fourth Proportional to 7,840.67, 11,757.76 and 5,376.24

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Solution

The fourth proportional to 7,840.67, 11,757.76 and 5,376.24 is: 8,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.67 : 11,757.76 = 5,376.24 : x
  2. Step 2: Convert to fraction form
    7,840.67/11,757.76 = 5,376.24/x
  3. Step 3: Cross multiply
    7,840.67x = 11,757.76 × 5,376.24
  4. Step 4: Simplify right side
    7,840.67x = 63,212,526.18
  5. Step 5: Solve for x
    x = 63,212,526.18/7,840.67
  6. Step 6: Final answer
    x = 8,062.14

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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.