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Finding the Fourth Proportional to 8,510.10, 12,767.07 and 3,894.42

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Solution

The fourth proportional to 8,510.10, 12,767.07 and 3,894.42 is: 5,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.10 : 12,767.07 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    8,510.10/12,767.07 = 3,894.42/x
  3. Step 3: Cross multiply
    8,510.10x = 12,767.07 × 3,894.42
  4. Step 4: Simplify right side
    8,510.10x = 49,720,332.75
  5. Step 5: Solve for x
    x = 49,720,332.75/8,510.10
  6. Step 6: Final answer
    x = 5,842.51

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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.