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Finding the Fourth Proportional to 7,594.74, 10,478.97 and 4,449.78

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Solution

The fourth proportional to 7,594.74, 10,478.97 and 4,449.78 is: 6,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.74 : 10,478.97 = 4,449.78 : x
  2. Step 2: Convert to fraction form
    7,594.74/10,478.97 = 4,449.78/x
  3. Step 3: Cross multiply
    7,594.74x = 10,478.97 × 4,449.78
  4. Step 4: Simplify right side
    7,594.74x = 46,629,111.13
  5. Step 5: Solve for x
    x = 46,629,111.13/7,594.74
  6. Step 6: Final answer
    x = 6,139.66

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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.