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Finding the Fourth Proportional to 10,807.25, 14,914.05 and 6,091.61

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Solution

The fourth proportional to 10,807.25, 14,914.05 and 6,091.61 is: 8,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.25 : 14,914.05 = 6,091.61 : x
  2. Step 2: Convert to fraction form
    10,807.25/14,914.05 = 6,091.61/x
  3. Step 3: Cross multiply
    10,807.25x = 14,914.05 × 6,091.61
  4. Step 4: Simplify right side
    10,807.25x = 90,850,576.12
  5. Step 5: Solve for x
    x = 90,850,576.12/10,807.25
  6. Step 6: Final answer
    x = 8,406.45

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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.