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Finding the Fourth Proportional to 10,297.56, 15,440.49 and 4,054.19

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Solution

The fourth proportional to 10,297.56, 15,440.49 and 4,054.19 is: 6,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.56 : 15,440.49 = 4,054.19 : x
  2. Step 2: Convert to fraction form
    10,297.56/15,440.49 = 4,054.19/x
  3. Step 3: Cross multiply
    10,297.56x = 15,440.49 × 4,054.19
  4. Step 4: Simplify right side
    10,297.56x = 62,598,680.15
  5. Step 5: Solve for x
    x = 62,598,680.15/10,297.56
  6. Step 6: Final answer
    x = 6,078.98

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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.