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Finding the Fourth Proportional to 8,235.46, 12,351.51 and 2,970.31

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Solution

The fourth proportional to 8,235.46, 12,351.51 and 2,970.31 is: 4,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.46 : 12,351.51 = 2,970.31 : x
  2. Step 2: Convert to fraction form
    8,235.46/12,351.51 = 2,970.31/x
  3. Step 3: Cross multiply
    8,235.46x = 12,351.51 × 2,970.31
  4. Step 4: Simplify right side
    8,235.46x = 36,687,813.67
  5. Step 5: Solve for x
    x = 36,687,813.67/8,235.46
  6. Step 6: Final answer
    x = 4,454.86

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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.