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Finding the Fourth Proportional to 10,705.86, 16,054.56 and 4,127.85

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Solution

The fourth proportional to 10,705.86, 16,054.56 and 4,127.85 is: 6,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.86 : 16,054.56 = 4,127.85 : x
  2. Step 2: Convert to fraction form
    10,705.86/16,054.56 = 4,127.85/x
  3. Step 3: Cross multiply
    10,705.86x = 16,054.56 × 4,127.85
  4. Step 4: Simplify right side
    10,705.86x = 66,270,815.50
  5. Step 5: Solve for x
    x = 66,270,815.50/10,705.86
  6. Step 6: Final answer
    x = 6,190.14

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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.