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Finding the Fourth Proportional to 7,105.58, 9,804.83 and 4,121.00

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Solution

The fourth proportional to 7,105.58, 9,804.83 and 4,121.00 is: 5,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.58 : 9,804.83 = 4,121.00 : x
  2. Step 2: Convert to fraction form
    7,105.58/9,804.83 = 4,121.00/x
  3. Step 3: Cross multiply
    7,105.58x = 9,804.83 × 4,121.00
  4. Step 4: Simplify right side
    7,105.58x = 40,405,634.80
  5. Step 5: Solve for x
    x = 40,405,634.80/7,105.58
  6. Step 6: Final answer
    x = 5,686.47

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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.