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Finding the Fourth Proportional to 10,164.23, 15,253.63 and 4,324.94

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Solution

The fourth proportional to 10,164.23, 15,253.63 and 4,324.94 is: 6,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.23 : 15,253.63 = 4,324.94 : x
  2. Step 2: Convert to fraction form
    10,164.23/15,253.63 = 4,324.94/x
  3. Step 3: Cross multiply
    10,164.23x = 15,253.63 × 4,324.94
  4. Step 4: Simplify right side
    10,164.23x = 65,970,947.45
  5. Step 5: Solve for x
    x = 65,970,947.45/10,164.23
  6. Step 6: Final answer
    x = 6,490.50

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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.