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Finding the Fourth Proportional to 8,641.98, 12,965.70 and 3,095.19

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Solution

The fourth proportional to 8,641.98, 12,965.70 and 3,095.19 is: 4,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.98 : 12,965.70 = 3,095.19 : x
  2. Step 2: Convert to fraction form
    8,641.98/12,965.70 = 3,095.19/x
  3. Step 3: Cross multiply
    8,641.98x = 12,965.70 × 3,095.19
  4. Step 4: Simplify right side
    8,641.98x = 40,131,304.98
  5. Step 5: Solve for x
    x = 40,131,304.98/8,641.98
  6. Step 6: Final answer
    x = 4,643.76

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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.