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Finding the Fourth Proportional to 10,804.32, 14,912.10 and 6,823.44

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Solution

The fourth proportional to 10,804.32, 14,912.10 and 6,823.44 is: 9,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.32 : 14,912.10 = 6,823.44 : x
  2. Step 2: Convert to fraction form
    10,804.32/14,912.10 = 6,823.44/x
  3. Step 3: Cross multiply
    10,804.32x = 14,912.10 × 6,823.44
  4. Step 4: Simplify right side
    10,804.32x = 101,751,819.62
  5. Step 5: Solve for x
    x = 101,751,819.62/10,804.32
  6. Step 6: Final answer
    x = 9,417.70

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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.