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Finding the Fourth Proportional to 10,025.44, 13,835.81 and 6,046.31

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Solution

The fourth proportional to 10,025.44, 13,835.81 and 6,046.31 is: 8,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.44 : 13,835.81 = 6,046.31 : x
  2. Step 2: Convert to fraction form
    10,025.44/13,835.81 = 6,046.31/x
  3. Step 3: Cross multiply
    10,025.44x = 13,835.81 × 6,046.31
  4. Step 4: Simplify right side
    10,025.44x = 83,655,646.07
  5. Step 5: Solve for x
    x = 83,655,646.07/10,025.44
  6. Step 6: Final answer
    x = 8,344.34

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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.