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Finding the Fourth Proportional to 7,758.90, 11,636.33 and 5,293.26

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Solution

The fourth proportional to 7,758.90, 11,636.33 and 5,293.26 is: 7,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.90 : 11,636.33 = 5,293.26 : x
  2. Step 2: Convert to fraction form
    7,758.90/11,636.33 = 5,293.26/x
  3. Step 3: Cross multiply
    7,758.90x = 11,636.33 × 5,293.26
  4. Step 4: Simplify right side
    7,758.90x = 61,594,093.67
  5. Step 5: Solve for x
    x = 61,594,093.67/7,758.90
  6. Step 6: Final answer
    x = 7,938.51

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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.