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Finding the Fourth Proportional to 7,578.96, 11,358.94 and 4,060.24

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Solution

The fourth proportional to 7,578.96, 11,358.94 and 4,060.24 is: 6,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.96 : 11,358.94 = 4,060.24 : x
  2. Step 2: Convert to fraction form
    7,578.96/11,358.94 = 4,060.24/x
  3. Step 3: Cross multiply
    7,578.96x = 11,358.94 × 4,060.24
  4. Step 4: Simplify right side
    7,578.96x = 46,120,022.55
  5. Step 5: Solve for x
    x = 46,120,022.55/7,578.96
  6. Step 6: Final answer
    x = 6,085.27

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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.