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Finding the Fourth Proportional to 11,407.37, 17,117.08 and 8,097

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Solution

The fourth proportional to 11,407.37, 17,117.08 and 8,097 is: 12,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.37 : 17,117.08 = 8,097 : x
  2. Step 2: Convert to fraction form
    11,407.37/17,117.08 = 8,097/x
  3. Step 3: Cross multiply
    11,407.37x = 17,117.08 × 8,097
  4. Step 4: Simplify right side
    11,407.37x = 138,596,996.76
  5. Step 5: Solve for x
    x = 138,596,996.76/11,407.37
  6. Step 6: Final answer
    x = 12,149.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.