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Finding the Fourth Proportional to 7,715.36, 11,564.29 and 3,546.76

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Solution

The fourth proportional to 7,715.36, 11,564.29 and 3,546.76 is: 5,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.36 : 11,564.29 = 3,546.76 : x
  2. Step 2: Convert to fraction form
    7,715.36/11,564.29 = 3,546.76/x
  3. Step 3: Cross multiply
    7,715.36x = 11,564.29 × 3,546.76
  4. Step 4: Simplify right side
    7,715.36x = 41,015,685.65
  5. Step 5: Solve for x
    x = 41,015,685.65/7,715.36
  6. Step 6: Final answer
    x = 5,316.11

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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.