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Finding the Fourth Proportional to 8,048.16, 11,106.32 and 4,463.00

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Solution

The fourth proportional to 8,048.16, 11,106.32 and 4,463.00 is: 6,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.16 : 11,106.32 = 4,463.00 : x
  2. Step 2: Convert to fraction form
    8,048.16/11,106.32 = 4,463.00/x
  3. Step 3: Cross multiply
    8,048.16x = 11,106.32 × 4,463.00
  4. Step 4: Simplify right side
    8,048.16x = 49,567,469.96
  5. Step 5: Solve for x
    x = 49,567,469.96/8,048.16
  6. Step 6: Final answer
    x = 6,158.86

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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.