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Finding the Fourth Proportional to 7,441.32, 10,268.31 and 4,457.10

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Solution

The fourth proportional to 7,441.32, 10,268.31 and 4,457.10 is: 6,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.32 : 10,268.31 = 4,457.10 : x
  2. Step 2: Convert to fraction form
    7,441.32/10,268.31 = 4,457.10/x
  3. Step 3: Cross multiply
    7,441.32x = 10,268.31 × 4,457.10
  4. Step 4: Simplify right side
    7,441.32x = 45,766,884.50
  5. Step 5: Solve for x
    x = 45,766,884.50/7,441.32
  6. Step 6: Final answer
    x = 6,150.37

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Why These Related Problems?

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