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Finding the Fourth Proportional to 11,735.26, 17,590.57 and 5,490

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Solution

The fourth proportional to 11,735.26, 17,590.57 and 5,490 is: 8,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.26 : 17,590.57 = 5,490 : x
  2. Step 2: Convert to fraction form
    11,735.26/17,590.57 = 5,490/x
  3. Step 3: Cross multiply
    11,735.26x = 17,590.57 × 5,490
  4. Step 4: Simplify right side
    11,735.26x = 96,572,215.58
  5. Step 5: Solve for x
    x = 96,572,215.58/11,735.26
  6. Step 6: Final answer
    x = 8,229.24

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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.