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Finding the Fourth Proportional to 11,430.28, 17,147.22 and 4,856.50

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Solution

The fourth proportional to 11,430.28, 17,147.22 and 4,856.50 is: 7,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.28 : 17,147.22 = 4,856.50 : x
  2. Step 2: Convert to fraction form
    11,430.28/17,147.22 = 4,856.50/x
  3. Step 3: Cross multiply
    11,430.28x = 17,147.22 × 4,856.50
  4. Step 4: Simplify right side
    11,430.28x = 83,275,473.93
  5. Step 5: Solve for x
    x = 83,275,473.93/11,430.28
  6. Step 6: Final answer
    x = 7,285.51

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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.