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Finding the Fourth Proportional to 6,712.38, 10,071 and 2,330.19

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Solution

The fourth proportional to 6,712.38, 10,071 and 2,330.19 is: 3,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.38 : 10,071 = 2,330.19 : x
  2. Step 2: Convert to fraction form
    6,712.38/10,071 = 2,330.19/x
  3. Step 3: Cross multiply
    6,712.38x = 10,071 × 2,330.19
  4. Step 4: Simplify right side
    6,712.38x = 23,467,343.49
  5. Step 5: Solve for x
    x = 23,467,343.49/6,712.38
  6. Step 6: Final answer
    x = 3,496.13

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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.