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Finding the Fourth Proportional to 8,820.90, 13,244.04 and 7,738.38

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Solution

The fourth proportional to 8,820.90, 13,244.04 and 7,738.38 is: 11,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.90 : 13,244.04 = 7,738.38 : x
  2. Step 2: Convert to fraction form
    8,820.90/13,244.04 = 7,738.38/x
  3. Step 3: Cross multiply
    8,820.90x = 13,244.04 × 7,738.38
  4. Step 4: Simplify right side
    8,820.90x = 102,487,414.26
  5. Step 5: Solve for x
    x = 102,487,414.26/8,820.90
  6. Step 6: Final answer
    x = 11,618.70

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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.