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Finding the Fourth Proportional to 10,804.86, 14,912.10 and 6,090.66

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Solution

The fourth proportional to 10,804.86, 14,912.10 and 6,090.66 is: 8,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.86 : 14,912.10 = 6,090.66 : x
  2. Step 2: Convert to fraction form
    10,804.86/14,912.10 = 6,090.66/x
  3. Step 3: Cross multiply
    10,804.86x = 14,912.10 × 6,090.66
  4. Step 4: Simplify right side
    10,804.86x = 90,824,530.99
  5. Step 5: Solve for x
    x = 90,824,530.99/10,804.86
  6. Step 6: Final answer
    x = 8,405.90

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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.