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Finding the Fourth Proportional to 11,370.96, 17,043.48 and 5,202

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Solution

The fourth proportional to 11,370.96, 17,043.48 and 5,202 is: 7,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.96 : 17,043.48 = 5,202 : x
  2. Step 2: Convert to fraction form
    11,370.96/17,043.48 = 5,202/x
  3. Step 3: Cross multiply
    11,370.96x = 17,043.48 × 5,202
  4. Step 4: Simplify right side
    11,370.96x = 88,660,182.96
  5. Step 5: Solve for x
    x = 88,660,182.96/11,370.96
  6. Step 6: Final answer
    x = 7,797.07

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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.