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Finding the Fourth Proportional to 10,242.52, 15,364.08 and 2,847.52

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Solution

The fourth proportional to 10,242.52, 15,364.08 and 2,847.52 is: 4,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.52 : 15,364.08 = 2,847.52 : x
  2. Step 2: Convert to fraction form
    10,242.52/15,364.08 = 2,847.52/x
  3. Step 3: Cross multiply
    10,242.52x = 15,364.08 × 2,847.52
  4. Step 4: Simplify right side
    10,242.52x = 43,749,525.08
  5. Step 5: Solve for x
    x = 43,749,525.08/10,242.52
  6. Step 6: Final answer
    x = 4,271.36

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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.