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Finding the Fourth Proportional to 10,200.44, 15,305.37 and 4,655.48

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Solution

The fourth proportional to 10,200.44, 15,305.37 and 4,655.48 is: 6,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.44 : 15,305.37 = 4,655.48 : x
  2. Step 2: Convert to fraction form
    10,200.44/15,305.37 = 4,655.48/x
  3. Step 3: Cross multiply
    10,200.44x = 15,305.37 × 4,655.48
  4. Step 4: Simplify right side
    10,200.44x = 71,253,821.06
  5. Step 5: Solve for x
    x = 71,253,821.06/10,200.44
  6. Step 6: Final answer
    x = 6,985.37

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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.