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Finding the Fourth Proportional to 8,430.36, 11,634.52 and 4,894.11

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Solution

The fourth proportional to 8,430.36, 11,634.52 and 4,894.11 is: 6,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.36 : 11,634.52 = 4,894.11 : x
  2. Step 2: Convert to fraction form
    8,430.36/11,634.52 = 4,894.11/x
  3. Step 3: Cross multiply
    8,430.36x = 11,634.52 × 4,894.11
  4. Step 4: Simplify right side
    8,430.36x = 56,940,550.27
  5. Step 5: Solve for x
    x = 56,940,550.27/8,430.36
  6. Step 6: Final answer
    x = 6,754.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.