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Finding the Fourth Proportional to 7,029.64, 10,557.42 and 5,578.12

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Solution

The fourth proportional to 7,029.64, 10,557.42 and 5,578.12 is: 8,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.64 : 10,557.42 = 5,578.12 : x
  2. Step 2: Convert to fraction form
    7,029.64/10,557.42 = 5,578.12/x
  3. Step 3: Cross multiply
    7,029.64x = 10,557.42 × 5,578.12
  4. Step 4: Simplify right side
    7,029.64x = 58,890,555.65
  5. Step 5: Solve for x
    x = 58,890,555.65/7,029.64
  6. Step 6: Final answer
    x = 8,377.46

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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.