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Finding the Fourth Proportional to 10,705.84, 14,770.76 and 6,228.77

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Solution

The fourth proportional to 10,705.84, 14,770.76 and 6,228.77 is: 8,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.84 : 14,770.76 = 6,228.77 : x
  2. Step 2: Convert to fraction form
    10,705.84/14,770.76 = 6,228.77/x
  3. Step 3: Cross multiply
    10,705.84x = 14,770.76 × 6,228.77
  4. Step 4: Simplify right side
    10,705.84x = 92,003,561.77
  5. Step 5: Solve for x
    x = 92,003,561.77/10,705.84
  6. Step 6: Final answer
    x = 8,593.78

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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.