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Finding the Fourth Proportional to 7,329, 10,114.14 and 5,236.68

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Solution

The fourth proportional to 7,329, 10,114.14 and 5,236.68 is: 7,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329 : 10,114.14 = 5,236.68 : x
  2. Step 2: Convert to fraction form
    7,329/10,114.14 = 5,236.68/x
  3. Step 3: Cross multiply
    7,329x = 10,114.14 × 5,236.68
  4. Step 4: Simplify right side
    7,329x = 52,964,514.66
  5. Step 5: Solve for x
    x = 52,964,514.66/7,329
  6. Step 6: Final answer
    x = 7,226.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.