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Finding the Fourth Proportional to 10,966.08, 15,129.36 and 7,608

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Solution

The fourth proportional to 10,966.08, 15,129.36 and 7,608 is: 10,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.08 : 15,129.36 = 7,608 : x
  2. Step 2: Convert to fraction form
    10,966.08/15,129.36 = 7,608/x
  3. Step 3: Cross multiply
    10,966.08x = 15,129.36 × 7,608
  4. Step 4: Simplify right side
    10,966.08x = 115,104,170.88
  5. Step 5: Solve for x
    x = 115,104,170.88/10,966.08
  6. Step 6: Final answer
    x = 10,496.38

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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.