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Finding the Fourth Proportional to 7,477.43, 10,319.19 and 4,494.65

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Solution

The fourth proportional to 7,477.43, 10,319.19 and 4,494.65 is: 6,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.43 : 10,319.19 = 4,494.65 : x
  2. Step 2: Convert to fraction form
    7,477.43/10,319.19 = 4,494.65/x
  3. Step 3: Cross multiply
    7,477.43x = 10,319.19 × 4,494.65
  4. Step 4: Simplify right side
    7,477.43x = 46,381,147.33
  5. Step 5: Solve for x
    x = 46,381,147.33/7,477.43
  6. Step 6: Final answer
    x = 6,202.82

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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.