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Finding the Fourth Proportional to 7,447.91, 10,278.24 and 4,090.86

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Solution

The fourth proportional to 7,447.91, 10,278.24 and 4,090.86 is: 5,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.91 : 10,278.24 = 4,090.86 : x
  2. Step 2: Convert to fraction form
    7,447.91/10,278.24 = 4,090.86/x
  3. Step 3: Cross multiply
    7,447.91x = 10,278.24 × 4,090.86
  4. Step 4: Simplify right side
    7,447.91x = 42,046,866.58
  5. Step 5: Solve for x
    x = 42,046,866.58/7,447.91
  6. Step 6: Final answer
    x = 5,645.46

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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.