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Finding the Fourth Proportional to 8,362.98, 12,545.86 and 2,739.02

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Solution

The fourth proportional to 8,362.98, 12,545.86 and 2,739.02 is: 4,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.98 : 12,545.86 = 2,739.02 : x
  2. Step 2: Convert to fraction form
    8,362.98/12,545.86 = 2,739.02/x
  3. Step 3: Cross multiply
    8,362.98x = 12,545.86 × 2,739.02
  4. Step 4: Simplify right side
    8,362.98x = 34,363,361.46
  5. Step 5: Solve for x
    x = 34,363,361.46/8,362.98
  6. Step 6: Final answer
    x = 4,108.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.