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Finding the Fourth Proportional to 10,770.50, 14,863.30 and 6,054.82

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Solution

The fourth proportional to 10,770.50, 14,863.30 and 6,054.82 is: 8,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.50 : 14,863.30 = 6,054.82 : x
  2. Step 2: Convert to fraction form
    10,770.50/14,863.30 = 6,054.82/x
  3. Step 3: Cross multiply
    10,770.50x = 14,863.30 × 6,054.82
  4. Step 4: Simplify right side
    10,770.50x = 89,994,553.81
  5. Step 5: Solve for x
    x = 89,994,553.81/10,770.50
  6. Step 6: Final answer
    x = 8,355.65

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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.