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Finding the Fourth Proportional to 10,770.90, 14,863.77 and 6,055.19

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Solution

The fourth proportional to 10,770.90, 14,863.77 and 6,055.19 is: 8,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.90 : 14,863.77 = 6,055.19 : x
  2. Step 2: Convert to fraction form
    10,770.90/14,863.77 = 6,055.19/x
  3. Step 3: Cross multiply
    10,770.90x = 14,863.77 × 6,055.19
  4. Step 4: Simplify right side
    10,770.90x = 90,002,951.47
  5. Step 5: Solve for x
    x = 90,002,951.47/10,770.90
  6. Step 6: Final answer
    x = 8,356.12

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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.