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Finding the Fourth Proportional to 11,740.94, 16,202.99 and 7,024.31

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Solution

The fourth proportional to 11,740.94, 16,202.99 and 7,024.31 is: 9,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.94 : 16,202.99 = 7,024.31 : x
  2. Step 2: Convert to fraction form
    11,740.94/16,202.99 = 7,024.31/x
  3. Step 3: Cross multiply
    11,740.94x = 16,202.99 × 7,024.31
  4. Step 4: Simplify right side
    11,740.94x = 113,814,761.23
  5. Step 5: Solve for x
    x = 113,814,761.23/11,740.94
  6. Step 6: Final answer
    x = 9,693.84

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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.