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Finding the Fourth Proportional to 7,987.36, 11,021.76 and 4,843.36

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Solution

The fourth proportional to 7,987.36, 11,021.76 and 4,843.36 is: 6,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.36 : 11,021.76 = 4,843.36 : x
  2. Step 2: Convert to fraction form
    7,987.36/11,021.76 = 4,843.36/x
  3. Step 3: Cross multiply
    7,987.36x = 11,021.76 × 4,843.36
  4. Step 4: Simplify right side
    7,987.36x = 53,382,351.51
  5. Step 5: Solve for x
    x = 53,382,351.51/7,987.36
  6. Step 6: Final answer
    x = 6,683.35

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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.