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Finding the Fourth Proportional to 10,238.10, 15,361.74 and 4,970.22

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Solution

The fourth proportional to 10,238.10, 15,361.74 and 4,970.22 is: 7,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.10 : 15,361.74 = 4,970.22 : x
  2. Step 2: Convert to fraction form
    10,238.10/15,361.74 = 4,970.22/x
  3. Step 3: Cross multiply
    10,238.10x = 15,361.74 × 4,970.22
  4. Step 4: Simplify right side
    10,238.10x = 76,351,227.38
  5. Step 5: Solve for x
    x = 76,351,227.38/10,238.10
  6. Step 6: Final answer
    x = 7,457.56

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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.