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Finding the Fourth Proportional to 7,048.32, 10,578.72 and 4,122.72

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Solution

The fourth proportional to 7,048.32, 10,578.72 and 4,122.72 is: 6,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.32 : 10,578.72 = 4,122.72 : x
  2. Step 2: Convert to fraction form
    7,048.32/10,578.72 = 4,122.72/x
  3. Step 3: Cross multiply
    7,048.32x = 10,578.72 × 4,122.72
  4. Step 4: Simplify right side
    7,048.32x = 43,613,100.52
  5. Step 5: Solve for x
    x = 43,613,100.52/7,048.32
  6. Step 6: Final answer
    x = 6,187.73

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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.