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Finding the Fourth Proportional to 8,510.69, 12,768.06 and 2,667.77

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Solution

The fourth proportional to 8,510.69, 12,768.06 and 2,667.77 is: 4,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.69 : 12,768.06 = 2,667.77 : x
  2. Step 2: Convert to fraction form
    8,510.69/12,768.06 = 2,667.77/x
  3. Step 3: Cross multiply
    8,510.69x = 12,768.06 × 2,667.77
  4. Step 4: Simplify right side
    8,510.69x = 34,062,247.43
  5. Step 5: Solve for x
    x = 34,062,247.43/8,510.69
  6. Step 6: Final answer
    x = 4,002.29

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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.