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Finding the Fourth Proportional to 7,447.82, 10,278.11 and 4,090.95

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Solution

The fourth proportional to 7,447.82, 10,278.11 and 4,090.95 is: 5,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.82 : 10,278.11 = 4,090.95 : x
  2. Step 2: Convert to fraction form
    7,447.82/10,278.11 = 4,090.95/x
  3. Step 3: Cross multiply
    7,447.82x = 10,278.11 × 4,090.95
  4. Step 4: Simplify right side
    7,447.82x = 42,047,205.79
  5. Step 5: Solve for x
    x = 42,047,205.79/7,447.82
  6. Step 6: Final answer
    x = 5,645.57

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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.