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Finding the Fourth Proportional to 7,448.79, 10,278.80 and 4,091.82

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Solution

The fourth proportional to 7,448.79, 10,278.80 and 4,091.82 is: 5,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.79 : 10,278.80 = 4,091.82 : x
  2. Step 2: Convert to fraction form
    7,448.79/10,278.80 = 4,091.82/x
  3. Step 3: Cross multiply
    7,448.79x = 10,278.80 × 4,091.82
  4. Step 4: Simplify right side
    7,448.79x = 42,058,978.96
  5. Step 5: Solve for x
    x = 42,058,978.96/7,448.79
  6. Step 6: Final answer
    x = 5,646.42

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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.