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Finding the Fourth Proportional to 8,390.36, 12,574.77 and 3,463.46

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Solution

The fourth proportional to 8,390.36, 12,574.77 and 3,463.46 is: 5,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.36 : 12,574.77 = 3,463.46 : x
  2. Step 2: Convert to fraction form
    8,390.36/12,574.77 = 3,463.46/x
  3. Step 3: Cross multiply
    8,390.36x = 12,574.77 × 3,463.46
  4. Step 4: Simplify right side
    8,390.36x = 43,552,150.03
  5. Step 5: Solve for x
    x = 43,552,150.03/8,390.36
  6. Step 6: Final answer
    x = 5,190.74

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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.