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Finding the Fourth Proportional to 11,291.39, 15,573.34 and 7,709.23

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Solution

The fourth proportional to 11,291.39, 15,573.34 and 7,709.23 is: 10,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.39 : 15,573.34 = 7,709.23 : x
  2. Step 2: Convert to fraction form
    11,291.39/15,573.34 = 7,709.23/x
  3. Step 3: Cross multiply
    11,291.39x = 15,573.34 × 7,709.23
  4. Step 4: Simplify right side
    11,291.39x = 120,058,430.63
  5. Step 5: Solve for x
    x = 120,058,430.63/11,291.39
  6. Step 6: Final answer
    x = 10,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.