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Finding the Fourth Proportional to 7,565.68, 10,441.24 and 4,208.80

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Solution

The fourth proportional to 7,565.68, 10,441.24 and 4,208.80 is: 5,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.68 : 10,441.24 = 4,208.80 : x
  2. Step 2: Convert to fraction form
    7,565.68/10,441.24 = 4,208.80/x
  3. Step 3: Cross multiply
    7,565.68x = 10,441.24 × 4,208.80
  4. Step 4: Simplify right side
    7,565.68x = 43,945,090.91
  5. Step 5: Solve for x
    x = 43,945,090.91/7,565.68
  6. Step 6: Final answer
    x = 5,808.48

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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.