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Finding the Fourth Proportional to 11,171.07, 15,416.07 and 6,455.34

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Solution

The fourth proportional to 11,171.07, 15,416.07 and 6,455.34 is: 8,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.07 : 15,416.07 = 6,455.34 : x
  2. Step 2: Convert to fraction form
    11,171.07/15,416.07 = 6,455.34/x
  3. Step 3: Cross multiply
    11,171.07x = 15,416.07 × 6,455.34
  4. Step 4: Simplify right side
    11,171.07x = 99,515,973.31
  5. Step 5: Solve for x
    x = 99,515,973.31/11,171.07
  6. Step 6: Final answer
    x = 8,908.37

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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.