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Finding the Fourth Proportional to 11,665.60, 17,491.98 and 7,972

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Solution

The fourth proportional to 11,665.60, 17,491.98 and 7,972 is: 11,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.60 : 17,491.98 = 7,972 : x
  2. Step 2: Convert to fraction form
    11,665.60/17,491.98 = 7,972/x
  3. Step 3: Cross multiply
    11,665.60x = 17,491.98 × 7,972
  4. Step 4: Simplify right side
    11,665.60x = 139,446,064.56
  5. Step 5: Solve for x
    x = 139,446,064.56/11,665.60
  6. Step 6: Final answer
    x = 11,953.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.