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Finding the Fourth Proportional to 8,811.36, 12,159.36 and 5,084.64

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Solution

The fourth proportional to 8,811.36, 12,159.36 and 5,084.64 is: 7,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.36 : 12,159.36 = 5,084.64 : x
  2. Step 2: Convert to fraction form
    8,811.36/12,159.36 = 5,084.64/x
  3. Step 3: Cross multiply
    8,811.36x = 12,159.36 × 5,084.64
  4. Step 4: Simplify right side
    8,811.36x = 61,825,968.23
  5. Step 5: Solve for x
    x = 61,825,968.23/8,811.36
  6. Step 6: Final answer
    x = 7,016.62

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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.