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Finding the Fourth Proportional to 11,546.70, 15,944.67 and 7,305.54

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Solution

The fourth proportional to 11,546.70, 15,944.67 and 7,305.54 is: 10,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.70 : 15,944.67 = 7,305.54 : x
  2. Step 2: Convert to fraction form
    11,546.70/15,944.67 = 7,305.54/x
  3. Step 3: Cross multiply
    11,546.70x = 15,944.67 × 7,305.54
  4. Step 4: Simplify right side
    11,546.70x = 116,484,424.47
  5. Step 5: Solve for x
    x = 116,484,424.47/11,546.70
  6. Step 6: Final answer
    x = 10,088.11

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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.