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Finding the Fourth Proportional to 8,159.49, 11,259.88 and 4,623.84

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Solution

The fourth proportional to 8,159.49, 11,259.88 and 4,623.84 is: 6,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.49 : 11,259.88 = 4,623.84 : x
  2. Step 2: Convert to fraction form
    8,159.49/11,259.88 = 4,623.84/x
  3. Step 3: Cross multiply
    8,159.49x = 11,259.88 × 4,623.84
  4. Step 4: Simplify right side
    8,159.49x = 52,063,871.98
  5. Step 5: Solve for x
    x = 52,063,871.98/8,159.49
  6. Step 6: Final answer
    x = 6,380.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.