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Finding the Fourth Proportional to 8,336.00, 11,504.48 and 4,978.77

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Solution

The fourth proportional to 8,336.00, 11,504.48 and 4,978.77 is: 6,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.00 : 11,504.48 = 4,978.77 : x
  2. Step 2: Convert to fraction form
    8,336.00/11,504.48 = 4,978.77/x
  3. Step 3: Cross multiply
    8,336.00x = 11,504.48 × 4,978.77
  4. Step 4: Simplify right side
    8,336.00x = 57,278,135.00
  5. Step 5: Solve for x
    x = 57,278,135.00/8,336.00
  6. Step 6: Final answer
    x = 6,871.18

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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.