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Finding the Fourth Proportional to 7,055.81, 10,578.92 and 4,238.30

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Solution

The fourth proportional to 7,055.81, 10,578.92 and 4,238.30 is: 6,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.81 : 10,578.92 = 4,238.30 : x
  2. Step 2: Convert to fraction form
    7,055.81/10,578.92 = 4,238.30/x
  3. Step 3: Cross multiply
    7,055.81x = 10,578.92 × 4,238.30
  4. Step 4: Simplify right side
    7,055.81x = 44,836,562.55
  5. Step 5: Solve for x
    x = 44,836,562.55/7,055.81
  6. Step 6: Final answer
    x = 6,354.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.