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Finding the Fourth Proportional to 11,753.72, 16,218.42 and 7,037

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Solution

The fourth proportional to 11,753.72, 16,218.42 and 7,037 is: 9,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.72 : 16,218.42 = 7,037 : x
  2. Step 2: Convert to fraction form
    11,753.72/16,218.42 = 7,037/x
  3. Step 3: Cross multiply
    11,753.72x = 16,218.42 × 7,037
  4. Step 4: Simplify right side
    11,753.72x = 114,129,021.54
  5. Step 5: Solve for x
    x = 114,129,021.54/11,753.72
  6. Step 6: Final answer
    x = 9,710.03

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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.