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Finding the Fourth Proportional to 8,293.34, 12,410.80 and 5,174.82

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Solution

The fourth proportional to 8,293.34, 12,410.80 and 5,174.82 is: 7,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.34 : 12,410.80 = 5,174.82 : x
  2. Step 2: Convert to fraction form
    8,293.34/12,410.80 = 5,174.82/x
  3. Step 3: Cross multiply
    8,293.34x = 12,410.80 × 5,174.82
  4. Step 4: Simplify right side
    8,293.34x = 64,223,590.11
  5. Step 5: Solve for x
    x = 64,223,590.11/8,293.34
  6. Step 6: Final answer
    x = 7,743.99

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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.