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Finding the Fourth Proportional to 10,113.14, 15,163.16 and 4,848.02

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Solution

The fourth proportional to 10,113.14, 15,163.16 and 4,848.02 is: 7,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.14 : 15,163.16 = 4,848.02 : x
  2. Step 2: Convert to fraction form
    10,113.14/15,163.16 = 4,848.02/x
  3. Step 3: Cross multiply
    10,113.14x = 15,163.16 × 4,848.02
  4. Step 4: Simplify right side
    10,113.14x = 73,511,202.89
  5. Step 5: Solve for x
    x = 73,511,202.89/10,113.14
  6. Step 6: Final answer
    x = 7,268.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.