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Finding the Fourth Proportional to 8,648.13, 12,970.04 and 2,806.41

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Solution

The fourth proportional to 8,648.13, 12,970.04 and 2,806.41 is: 4,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.13 : 12,970.04 = 2,806.41 : x
  2. Step 2: Convert to fraction form
    8,648.13/12,970.04 = 2,806.41/x
  3. Step 3: Cross multiply
    8,648.13x = 12,970.04 × 2,806.41
  4. Step 4: Simplify right side
    8,648.13x = 36,399,235.92
  5. Step 5: Solve for x
    x = 36,399,235.92/8,648.13
  6. Step 6: Final answer
    x = 4,208.91

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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.