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Finding the Fourth Proportional to 8,594.70, 12,900.15 and 5,314.20

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Solution

The fourth proportional to 8,594.70, 12,900.15 and 5,314.20 is: 7,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.70 : 12,900.15 = 5,314.20 : x
  2. Step 2: Convert to fraction form
    8,594.70/12,900.15 = 5,314.20/x
  3. Step 3: Cross multiply
    8,594.70x = 12,900.15 × 5,314.20
  4. Step 4: Simplify right side
    8,594.70x = 68,553,977.13
  5. Step 5: Solve for x
    x = 68,553,977.13/8,594.70
  6. Step 6: Final answer
    x = 7,976.31

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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.