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Finding the Fourth Proportional to 8,701.77, 11,999.36 and 5,164.30

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Solution

The fourth proportional to 8,701.77, 11,999.36 and 5,164.30 is: 7,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.77 : 11,999.36 = 5,164.30 : x
  2. Step 2: Convert to fraction form
    8,701.77/11,999.36 = 5,164.30/x
  3. Step 3: Cross multiply
    8,701.77x = 11,999.36 × 5,164.30
  4. Step 4: Simplify right side
    8,701.77x = 61,968,277.76
  5. Step 5: Solve for x
    x = 61,968,277.76/8,701.77
  6. Step 6: Final answer
    x = 7,121.34

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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.