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Finding the Fourth Proportional to 10,804.11, 14,912.73 and 6,556.47

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Solution

The fourth proportional to 10,804.11, 14,912.73 and 6,556.47 is: 9,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.11 : 14,912.73 = 6,556.47 : x
  2. Step 2: Convert to fraction form
    10,804.11/14,912.73 = 6,556.47/x
  3. Step 3: Cross multiply
    10,804.11x = 14,912.73 × 6,556.47
  4. Step 4: Simplify right side
    10,804.11x = 97,774,866.86
  5. Step 5: Solve for x
    x = 97,774,866.86/10,804.11
  6. Step 6: Final answer
    x = 9,049.78

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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.