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Finding the Fourth Proportional to 8,894.26, 13,322.93 and 5,185.24

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Solution

The fourth proportional to 8,894.26, 13,322.93 and 5,185.24 is: 7,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.26 : 13,322.93 = 5,185.24 : x
  2. Step 2: Convert to fraction form
    8,894.26/13,322.93 = 5,185.24/x
  3. Step 3: Cross multiply
    8,894.26x = 13,322.93 × 5,185.24
  4. Step 4: Simplify right side
    8,894.26x = 69,082,596.96
  5. Step 5: Solve for x
    x = 69,082,596.96/8,894.26
  6. Step 6: Final answer
    x = 7,767.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.