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Finding the Fourth Proportional to 10,485.23, 15,722.97 and 6,103.94

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Solution

The fourth proportional to 10,485.23, 15,722.97 and 6,103.94 is: 9,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.23 : 15,722.97 = 6,103.94 : x
  2. Step 2: Convert to fraction form
    10,485.23/15,722.97 = 6,103.94/x
  3. Step 3: Cross multiply
    10,485.23x = 15,722.97 × 6,103.94
  4. Step 4: Simplify right side
    10,485.23x = 95,972,065.50
  5. Step 5: Solve for x
    x = 95,972,065.50/10,485.23
  6. Step 6: Final answer
    x = 9,153.07

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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.