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Finding the Fourth Proportional to 11,740.15, 16,200.97 and 7,024.15

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Solution

The fourth proportional to 11,740.15, 16,200.97 and 7,024.15 is: 9,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.15 : 16,200.97 = 7,024.15 : x
  2. Step 2: Convert to fraction form
    11,740.15/16,200.97 = 7,024.15/x
  3. Step 3: Cross multiply
    11,740.15x = 16,200.97 × 7,024.15
  4. Step 4: Simplify right side
    11,740.15x = 113,798,043.43
  5. Step 5: Solve for x
    x = 113,798,043.43/11,740.15
  6. Step 6: Final answer
    x = 9,693.07

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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.