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Finding the Fourth Proportional to 7,431.14, 10,255.08 and 4,447.10

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Solution

The fourth proportional to 7,431.14, 10,255.08 and 4,447.10 is: 6,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.14 : 10,255.08 = 4,447.10 : x
  2. Step 2: Convert to fraction form
    7,431.14/10,255.08 = 4,447.10/x
  3. Step 3: Cross multiply
    7,431.14x = 10,255.08 × 4,447.10
  4. Step 4: Simplify right side
    7,431.14x = 45,605,314.99
  5. Step 5: Solve for x
    x = 45,605,314.99/7,431.14
  6. Step 6: Final answer
    x = 6,137.06

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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.