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Finding the Fourth Proportional to 7,198.92, 10,802.52 and 3,038.58

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Solution

The fourth proportional to 7,198.92, 10,802.52 and 3,038.58 is: 4,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.92 : 10,802.52 = 3,038.58 : x
  2. Step 2: Convert to fraction form
    7,198.92/10,802.52 = 3,038.58/x
  3. Step 3: Cross multiply
    7,198.92x = 10,802.52 × 3,038.58
  4. Step 4: Simplify right side
    7,198.92x = 32,824,321.22
  5. Step 5: Solve for x
    x = 32,824,321.22/7,198.92
  6. Step 6: Final answer
    x = 4,559.62

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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.