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Finding the Fourth Proportional to 10,163.08, 15,202.50 and 9,541

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Solution

The fourth proportional to 10,163.08, 15,202.50 and 9,541 is: 14,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.08 : 15,202.50 = 9,541 : x
  2. Step 2: Convert to fraction form
    10,163.08/15,202.50 = 9,541/x
  3. Step 3: Cross multiply
    10,163.08x = 15,202.50 × 9,541
  4. Step 4: Simplify right side
    10,163.08x = 145,047,052.50
  5. Step 5: Solve for x
    x = 145,047,052.50/10,163.08
  6. Step 6: Final answer
    x = 14,271.96

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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.