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Finding the Fourth Proportional to 8,363.64, 11,541.48 and 5,004.54

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Solution

The fourth proportional to 8,363.64, 11,541.48 and 5,004.54 is: 6,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.64 : 11,541.48 = 5,004.54 : x
  2. Step 2: Convert to fraction form
    8,363.64/11,541.48 = 5,004.54/x
  3. Step 3: Cross multiply
    8,363.64x = 11,541.48 × 5,004.54
  4. Step 4: Simplify right side
    8,363.64x = 57,759,798.32
  5. Step 5: Solve for x
    x = 57,759,798.32/8,363.64
  6. Step 6: Final answer
    x = 6,906.06

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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.