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Finding the Fourth Proportional to 8,142.64, 12,210.27 and 2,594.95

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Solution

The fourth proportional to 8,142.64, 12,210.27 and 2,594.95 is: 3,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.64 : 12,210.27 = 2,594.95 : x
  2. Step 2: Convert to fraction form
    8,142.64/12,210.27 = 2,594.95/x
  3. Step 3: Cross multiply
    8,142.64x = 12,210.27 × 2,594.95
  4. Step 4: Simplify right side
    8,142.64x = 31,685,040.14
  5. Step 5: Solve for x
    x = 31,685,040.14/8,142.64
  6. Step 6: Final answer
    x = 3,891.25

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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.