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Finding the Fourth Proportional to 8,648.87, 12,975.20 and 2,806.07

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Solution

The fourth proportional to 8,648.87, 12,975.20 and 2,806.07 is: 4,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.87 : 12,975.20 = 2,806.07 : x
  2. Step 2: Convert to fraction form
    8,648.87/12,975.20 = 2,806.07/x
  3. Step 3: Cross multiply
    8,648.87x = 12,975.20 × 2,806.07
  4. Step 4: Simplify right side
    8,648.87x = 36,409,319.46
  5. Step 5: Solve for x
    x = 36,409,319.46/8,648.87
  6. Step 6: Final answer
    x = 4,209.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.