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Finding the Fourth Proportional to 7,160.64, 10,740.92 and 2,230.29

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Solution

The fourth proportional to 7,160.64, 10,740.92 and 2,230.29 is: 3,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.64 : 10,740.92 = 2,230.29 : x
  2. Step 2: Convert to fraction form
    7,160.64/10,740.92 = 2,230.29/x
  3. Step 3: Cross multiply
    7,160.64x = 10,740.92 × 2,230.29
  4. Step 4: Simplify right side
    7,160.64x = 23,955,355.32
  5. Step 5: Solve for x
    x = 23,955,355.32/7,160.64
  6. Step 6: Final answer
    x = 3,345.42

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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.