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Finding the Fourth Proportional to 7,715.10, 11,564.55 and 3,033.30

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Solution

The fourth proportional to 7,715.10, 11,564.55 and 3,033.30 is: 4,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.10 : 11,564.55 = 3,033.30 : x
  2. Step 2: Convert to fraction form
    7,715.10/11,564.55 = 3,033.30/x
  3. Step 3: Cross multiply
    7,715.10x = 11,564.55 × 3,033.30
  4. Step 4: Simplify right side
    7,715.10x = 35,078,749.52
  5. Step 5: Solve for x
    x = 35,078,749.52/7,715.10
  6. Step 6: Final answer
    x = 4,546.77

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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.