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Finding the Fourth Proportional to 7,735.70, 11,603.52 and 5,264.39

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Solution

The fourth proportional to 7,735.70, 11,603.52 and 5,264.39 is: 7,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.70 : 11,603.52 = 5,264.39 : x
  2. Step 2: Convert to fraction form
    7,735.70/11,603.52 = 5,264.39/x
  3. Step 3: Cross multiply
    7,735.70x = 11,603.52 × 5,264.39
  4. Step 4: Simplify right side
    7,735.70x = 61,085,396.64
  5. Step 5: Solve for x
    x = 61,085,396.64/7,735.70
  6. Step 6: Final answer
    x = 7,896.56

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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.