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Finding the Fourth Proportional to 8,474.81, 12,707.29 and 3,210.23

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Solution

The fourth proportional to 8,474.81, 12,707.29 and 3,210.23 is: 4,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.81 : 12,707.29 = 3,210.23 : x
  2. Step 2: Convert to fraction form
    8,474.81/12,707.29 = 3,210.23/x
  3. Step 3: Cross multiply
    8,474.81x = 12,707.29 × 3,210.23
  4. Step 4: Simplify right side
    8,474.81x = 40,793,323.58
  5. Step 5: Solve for x
    x = 40,793,323.58/8,474.81
  6. Step 6: Final answer
    x = 4,813.48

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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.