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Finding the Fourth Proportional to 8,140.57, 12,210.58 and 2,594.23

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Solution

The fourth proportional to 8,140.57, 12,210.58 and 2,594.23 is: 3,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.57 : 12,210.58 = 2,594.23 : x
  2. Step 2: Convert to fraction form
    8,140.57/12,210.58 = 2,594.23/x
  3. Step 3: Cross multiply
    8,140.57x = 12,210.58 × 2,594.23
  4. Step 4: Simplify right side
    8,140.57x = 31,677,025.67
  5. Step 5: Solve for x
    x = 31,677,025.67/8,140.57
  6. Step 6: Final answer
    x = 3,891.26

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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.