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Finding the Fourth Proportional to 8,894.74, 13,343.92 and 3,051.80

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Solution

The fourth proportional to 8,894.74, 13,343.92 and 3,051.80 is: 4,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.74 : 13,343.92 = 3,051.80 : x
  2. Step 2: Convert to fraction form
    8,894.74/13,343.92 = 3,051.80/x
  3. Step 3: Cross multiply
    8,894.74x = 13,343.92 × 3,051.80
  4. Step 4: Simplify right side
    8,894.74x = 40,722,975.06
  5. Step 5: Solve for x
    x = 40,722,975.06/8,894.74
  6. Step 6: Final answer
    x = 4,578.32

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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.