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Finding the Fourth Proportional to 10,213.44, 15,321.60 and 4,056

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Solution

The fourth proportional to 10,213.44, 15,321.60 and 4,056 is: 6,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.44 : 15,321.60 = 4,056 : x
  2. Step 2: Convert to fraction form
    10,213.44/15,321.60 = 4,056/x
  3. Step 3: Cross multiply
    10,213.44x = 15,321.60 × 4,056
  4. Step 4: Simplify right side
    10,213.44x = 62,144,409.60
  5. Step 5: Solve for x
    x = 62,144,409.60/10,213.44
  6. Step 6: Final answer
    x = 6,084.57

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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.