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Finding the Fourth Proportional to 7,201.95, 10,802.92 and 2,007.83

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Solution

The fourth proportional to 7,201.95, 10,802.92 and 2,007.83 is: 3,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.95 : 10,802.92 = 2,007.83 : x
  2. Step 2: Convert to fraction form
    7,201.95/10,802.92 = 2,007.83/x
  3. Step 3: Cross multiply
    7,201.95x = 10,802.92 × 2,007.83
  4. Step 4: Simplify right side
    7,201.95x = 21,690,426.86
  5. Step 5: Solve for x
    x = 21,690,426.86/7,201.95
  6. Step 6: Final answer
    x = 3,011.74

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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.