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Finding the Fourth Proportional to 7,957.53, 11,941.29 and 3,027.60

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Solution

The fourth proportional to 7,957.53, 11,941.29 and 3,027.60 is: 4,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.53 : 11,941.29 = 3,027.60 : x
  2. Step 2: Convert to fraction form
    7,957.53/11,941.29 = 3,027.60/x
  3. Step 3: Cross multiply
    7,957.53x = 11,941.29 × 3,027.60
  4. Step 4: Simplify right side
    7,957.53x = 36,153,449.60
  5. Step 5: Solve for x
    x = 36,153,449.60/7,957.53
  6. Step 6: Final answer
    x = 4,543.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.