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Finding the Fourth Proportional to 8,048.63, 11,107.21 and 4,463.66

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Solution

The fourth proportional to 8,048.63, 11,107.21 and 4,463.66 is: 6,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.63 : 11,107.21 = 4,463.66 : x
  2. Step 2: Convert to fraction form
    8,048.63/11,107.21 = 4,463.66/x
  3. Step 3: Cross multiply
    8,048.63x = 11,107.21 × 4,463.66
  4. Step 4: Simplify right side
    8,048.63x = 49,578,786.67
  5. Step 5: Solve for x
    x = 49,578,786.67/8,048.63
  6. Step 6: Final answer
    x = 6,159.90

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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.