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Finding the Fourth Proportional to 10,705.98, 16,054.80 and 3,684.66

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Solution

The fourth proportional to 10,705.98, 16,054.80 and 3,684.66 is: 5,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.98 : 16,054.80 = 3,684.66 : x
  2. Step 2: Convert to fraction form
    10,705.98/16,054.80 = 3,684.66/x
  3. Step 3: Cross multiply
    10,705.98x = 16,054.80 × 3,684.66
  4. Step 4: Simplify right side
    10,705.98x = 59,156,479.37
  5. Step 5: Solve for x
    x = 59,156,479.37/10,705.98
  6. Step 6: Final answer
    x = 5,525.55

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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.