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Finding the Fourth Proportional to 7,102.26, 10,654.32 and 2,719.17

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Solution

The fourth proportional to 7,102.26, 10,654.32 and 2,719.17 is: 4,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.26 : 10,654.32 = 2,719.17 : x
  2. Step 2: Convert to fraction form
    7,102.26/10,654.32 = 2,719.17/x
  3. Step 3: Cross multiply
    7,102.26x = 10,654.32 × 2,719.17
  4. Step 4: Simplify right side
    7,102.26x = 28,970,907.31
  5. Step 5: Solve for x
    x = 28,970,907.31/7,102.26
  6. Step 6: Final answer
    x = 4,079.11

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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.