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Finding the Fourth Proportional to 6,928.48, 10,386.24 and 3,844

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Solution

The fourth proportional to 6,928.48, 10,386.24 and 3,844 is: 5,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.48 : 10,386.24 = 3,844 : x
  2. Step 2: Convert to fraction form
    6,928.48/10,386.24 = 3,844/x
  3. Step 3: Cross multiply
    6,928.48x = 10,386.24 × 3,844
  4. Step 4: Simplify right side
    6,928.48x = 39,924,706.56
  5. Step 5: Solve for x
    x = 39,924,706.56/6,928.48
  6. Step 6: Final answer
    x = 5,762.40

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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.