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Finding the Fourth Proportional to 8,367.51, 11,546.83 and 5,008.35

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Solution

The fourth proportional to 8,367.51, 11,546.83 and 5,008.35 is: 6,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.51 : 11,546.83 = 5,008.35 : x
  2. Step 2: Convert to fraction form
    8,367.51/11,546.83 = 5,008.35/x
  3. Step 3: Cross multiply
    8,367.51x = 11,546.83 × 5,008.35
  4. Step 4: Simplify right side
    8,367.51x = 57,830,566.03
  5. Step 5: Solve for x
    x = 57,830,566.03/8,367.51
  6. Step 6: Final answer
    x = 6,911.32

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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.