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Finding the Fourth Proportional to 11,057.12, 15,258.71 and 6,021.32

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Solution

The fourth proportional to 11,057.12, 15,258.71 and 6,021.32 is: 8,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.12 : 15,258.71 = 6,021.32 : x
  2. Step 2: Convert to fraction form
    11,057.12/15,258.71 = 6,021.32/x
  3. Step 3: Cross multiply
    11,057.12x = 15,258.71 × 6,021.32
  4. Step 4: Simplify right side
    11,057.12x = 91,877,628.90
  5. Step 5: Solve for x
    x = 91,877,628.90/11,057.12
  6. Step 6: Final answer
    x = 8,309.37

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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.