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Finding the Fourth Proportional to 8,894.86, 13,350.32 and 4,738.34

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Solution

The fourth proportional to 8,894.86, 13,350.32 and 4,738.34 is: 7,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.86 : 13,350.32 = 4,738.34 : x
  2. Step 2: Convert to fraction form
    8,894.86/13,350.32 = 4,738.34/x
  3. Step 3: Cross multiply
    8,894.86x = 13,350.32 × 4,738.34
  4. Step 4: Simplify right side
    8,894.86x = 63,258,355.27
  5. Step 5: Solve for x
    x = 63,258,355.27/8,894.86
  6. Step 6: Final answer
    x = 7,111.79

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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.