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Finding the Fourth Proportional to 7,782.42, 10,736.20 and 4,593.55

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Solution

The fourth proportional to 7,782.42, 10,736.20 and 4,593.55 is: 6,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.42 : 10,736.20 = 4,593.55 : x
  2. Step 2: Convert to fraction form
    7,782.42/10,736.20 = 4,593.55/x
  3. Step 3: Cross multiply
    7,782.42x = 10,736.20 × 4,593.55
  4. Step 4: Simplify right side
    7,782.42x = 49,317,194.86
  5. Step 5: Solve for x
    x = 49,317,194.86/7,782.42
  6. Step 6: Final answer
    x = 6,337.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.