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Finding the Fourth Proportional to 8,151.14, 12,225.68 and 2,605.07

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Solution

The fourth proportional to 8,151.14, 12,225.68 and 2,605.07 is: 3,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.14 : 12,225.68 = 2,605.07 : x
  2. Step 2: Convert to fraction form
    8,151.14/12,225.68 = 2,605.07/x
  3. Step 3: Cross multiply
    8,151.14x = 12,225.68 × 2,605.07
  4. Step 4: Simplify right side
    8,151.14x = 31,848,678.04
  5. Step 5: Solve for x
    x = 31,848,678.04/8,151.14
  6. Step 6: Final answer
    x = 3,907.27

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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.