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Finding the Fourth Proportional to 11,739.52, 16,200.72 and 7,024

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Solution

The fourth proportional to 11,739.52, 16,200.72 and 7,024 is: 9,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.52 : 16,200.72 = 7,024 : x
  2. Step 2: Convert to fraction form
    11,739.52/16,200.72 = 7,024/x
  3. Step 3: Cross multiply
    11,739.52x = 16,200.72 × 7,024
  4. Step 4: Simplify right side
    11,739.52x = 113,793,857.28
  5. Step 5: Solve for x
    x = 113,793,857.28/11,739.52
  6. Step 6: Final answer
    x = 9,693.23

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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.