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Finding the Fourth Proportional to 11,076.87, 15,273.63 and 9,054

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Solution

The fourth proportional to 11,076.87, 15,273.63 and 9,054 is: 12,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.87 : 15,273.63 = 9,054 : x
  2. Step 2: Convert to fraction form
    11,076.87/15,273.63 = 9,054/x
  3. Step 3: Cross multiply
    11,076.87x = 15,273.63 × 9,054
  4. Step 4: Simplify right side
    11,076.87x = 138,287,446.02
  5. Step 5: Solve for x
    x = 138,287,446.02/11,076.87
  6. Step 6: Final answer
    x = 12,484.34

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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.