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Finding the Fourth Proportional to 10,703.86, 14,770.68 and 6,226.58

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Solution

The fourth proportional to 10,703.86, 14,770.68 and 6,226.58 is: 8,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.86 : 14,770.68 = 6,226.58 : x
  2. Step 2: Convert to fraction form
    10,703.86/14,770.68 = 6,226.58/x
  3. Step 3: Cross multiply
    10,703.86x = 14,770.68 × 6,226.58
  4. Step 4: Simplify right side
    10,703.86x = 91,970,820.67
  5. Step 5: Solve for x
    x = 91,970,820.67/10,703.86
  6. Step 6: Final answer
    x = 8,592.30

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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.