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Finding the Fourth Proportional to 8,022.51, 11,071.08 and 4,485.78

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Solution

The fourth proportional to 8,022.51, 11,071.08 and 4,485.78 is: 6,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.51 : 11,071.08 = 4,485.78 : x
  2. Step 2: Convert to fraction form
    8,022.51/11,071.08 = 4,485.78/x
  3. Step 3: Cross multiply
    8,022.51x = 11,071.08 × 4,485.78
  4. Step 4: Simplify right side
    8,022.51x = 49,662,429.24
  5. Step 5: Solve for x
    x = 49,662,429.24/8,022.51
  6. Step 6: Final answer
    x = 6,190.39

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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.