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Finding the Fourth Proportional to 11,660.30, 17,484.02 and 7,966.70

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Solution

The fourth proportional to 11,660.30, 17,484.02 and 7,966.70 is: 11,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.30 : 17,484.02 = 7,966.70 : x
  2. Step 2: Convert to fraction form
    11,660.30/17,484.02 = 7,966.70/x
  3. Step 3: Cross multiply
    11,660.30x = 17,484.02 × 7,966.70
  4. Step 4: Simplify right side
    11,660.30x = 139,289,814.88
  5. Step 5: Solve for x
    x = 139,289,814.88/11,660.30
  6. Step 6: Final answer
    x = 11,945.65

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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.