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Finding the Fourth Proportional to 10,242.54, 15,364.10 and 2,847.54

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Solution

The fourth proportional to 10,242.54, 15,364.10 and 2,847.54 is: 4,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.54 : 15,364.10 = 2,847.54 : x
  2. Step 2: Convert to fraction form
    10,242.54/15,364.10 = 2,847.54/x
  3. Step 3: Cross multiply
    10,242.54x = 15,364.10 × 2,847.54
  4. Step 4: Simplify right side
    10,242.54x = 43,749,889.31
  5. Step 5: Solve for x
    x = 43,749,889.31/10,242.54
  6. Step 6: Final answer
    x = 4,271.39

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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.