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Finding the Fourth Proportional to 7,262.29, 10,892.17 and 2,068.57

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Solution

The fourth proportional to 7,262.29, 10,892.17 and 2,068.57 is: 3,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.29 : 10,892.17 = 2,068.57 : x
  2. Step 2: Convert to fraction form
    7,262.29/10,892.17 = 2,068.57/x
  3. Step 3: Cross multiply
    7,262.29x = 10,892.17 × 2,068.57
  4. Step 4: Simplify right side
    7,262.29x = 22,531,216.10
  5. Step 5: Solve for x
    x = 22,531,216.10/7,262.29
  6. Step 6: Final answer
    x = 3,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.