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Finding the Fourth Proportional to 10,730.50, 14,804.83 and 6,755.58

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Solution

The fourth proportional to 10,730.50, 14,804.83 and 6,755.58 is: 9,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.50 : 14,804.83 = 6,755.58 : x
  2. Step 2: Convert to fraction form
    10,730.50/14,804.83 = 6,755.58/x
  3. Step 3: Cross multiply
    10,730.50x = 14,804.83 × 6,755.58
  4. Step 4: Simplify right side
    10,730.50x = 100,015,213.45
  5. Step 5: Solve for x
    x = 100,015,213.45/10,730.50
  6. Step 6: Final answer
    x = 9,320.65

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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.