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Finding the Fourth Proportional to 7,431.60, 10,255.80 and 4,447.74

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Solution

The fourth proportional to 7,431.60, 10,255.80 and 4,447.74 is: 6,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.60 : 10,255.80 = 4,447.74 : x
  2. Step 2: Convert to fraction form
    7,431.60/10,255.80 = 4,447.74/x
  3. Step 3: Cross multiply
    7,431.60x = 10,255.80 × 4,447.74
  4. Step 4: Simplify right side
    7,431.60x = 45,615,131.89
  5. Step 5: Solve for x
    x = 45,615,131.89/7,431.60
  6. Step 6: Final answer
    x = 6,138.00

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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.