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Finding the Fourth Proportional to 7,844.00, 10,833.21 and 4,866.93

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Solution

The fourth proportional to 7,844.00, 10,833.21 and 4,866.93 is: 6,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.00 : 10,833.21 = 4,866.93 : x
  2. Step 2: Convert to fraction form
    7,844.00/10,833.21 = 4,866.93/x
  3. Step 3: Cross multiply
    7,844.00x = 10,833.21 × 4,866.93
  4. Step 4: Simplify right side
    7,844.00x = 52,724,474.75
  5. Step 5: Solve for x
    x = 52,724,474.75/7,844.00
  6. Step 6: Final answer
    x = 6,721.64

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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.