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Finding the Fourth Proportional to 7,814.34, 11,721.24 and 3,652.83

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Solution

The fourth proportional to 7,814.34, 11,721.24 and 3,652.83 is: 5,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.34 : 11,721.24 = 3,652.83 : x
  2. Step 2: Convert to fraction form
    7,814.34/11,721.24 = 3,652.83/x
  3. Step 3: Cross multiply
    7,814.34x = 11,721.24 × 3,652.83
  4. Step 4: Simplify right side
    7,814.34x = 42,815,697.11
  5. Step 5: Solve for x
    x = 42,815,697.11/7,814.34
  6. Step 6: Final answer
    x = 5,479.12

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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.