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Finding the Fourth Proportional to 8,553.36, 12,830.40 and 4,174.68

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Solution

The fourth proportional to 8,553.36, 12,830.40 and 4,174.68 is: 6,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.36 : 12,830.40 = 4,174.68 : x
  2. Step 2: Convert to fraction form
    8,553.36/12,830.40 = 4,174.68/x
  3. Step 3: Cross multiply
    8,553.36x = 12,830.40 × 4,174.68
  4. Step 4: Simplify right side
    8,553.36x = 53,562,814.27
  5. Step 5: Solve for x
    x = 53,562,814.27/8,553.36
  6. Step 6: Final answer
    x = 6,262.20

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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.