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Finding the Fourth Proportional to 7,601.44, 10,495.92 and 5,830.24

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Solution

The fourth proportional to 7,601.44, 10,495.92 and 5,830.24 is: 8,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.44 : 10,495.92 = 5,830.24 : x
  2. Step 2: Convert to fraction form
    7,601.44/10,495.92 = 5,830.24/x
  3. Step 3: Cross multiply
    7,601.44x = 10,495.92 × 5,830.24
  4. Step 4: Simplify right side
    7,601.44x = 61,193,732.62
  5. Step 5: Solve for x
    x = 61,193,732.62/7,601.44
  6. Step 6: Final answer
    x = 8,050.28

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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.