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Finding the Fourth Proportional to 10,490.26, 15,735.32 and 4,250.18

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Solution

The fourth proportional to 10,490.26, 15,735.32 and 4,250.18 is: 6,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.26 : 15,735.32 = 4,250.18 : x
  2. Step 2: Convert to fraction form
    10,490.26/15,735.32 = 4,250.18/x
  3. Step 3: Cross multiply
    10,490.26x = 15,735.32 × 4,250.18
  4. Step 4: Simplify right side
    10,490.26x = 66,877,942.36
  5. Step 5: Solve for x
    x = 66,877,942.36/10,490.26
  6. Step 6: Final answer
    x = 6,375.24

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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.