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Finding the Fourth Proportional to 7,748.90, 11,615.06 and 3,584.06

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Solution

The fourth proportional to 7,748.90, 11,615.06 and 3,584.06 is: 5,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.90 : 11,615.06 = 3,584.06 : x
  2. Step 2: Convert to fraction form
    7,748.90/11,615.06 = 3,584.06/x
  3. Step 3: Cross multiply
    7,748.90x = 11,615.06 × 3,584.06
  4. Step 4: Simplify right side
    7,748.90x = 41,629,071.94
  5. Step 5: Solve for x
    x = 41,629,071.94/7,748.90
  6. Step 6: Final answer
    x = 5,372.26

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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.