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Finding the Fourth Proportional to 7,840.55, 11,757.51 and 3,159.30

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Solution

The fourth proportional to 7,840.55, 11,757.51 and 3,159.30 is: 4,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.55 : 11,757.51 = 3,159.30 : x
  2. Step 2: Convert to fraction form
    7,840.55/11,757.51 = 3,159.30/x
  3. Step 3: Cross multiply
    7,840.55x = 11,757.51 × 3,159.30
  4. Step 4: Simplify right side
    7,840.55x = 37,145,557.28
  5. Step 5: Solve for x
    x = 37,145,557.28/7,840.55
  6. Step 6: Final answer
    x = 4,737.62

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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.