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Finding the Fourth Proportional to 7,004.00, 9,662.83 and 4,485.71

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Solution

The fourth proportional to 7,004.00, 9,662.83 and 4,485.71 is: 6,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.00 : 9,662.83 = 4,485.71 : x
  2. Step 2: Convert to fraction form
    7,004.00/9,662.83 = 4,485.71/x
  3. Step 3: Cross multiply
    7,004.00x = 9,662.83 × 4,485.71
  4. Step 4: Simplify right side
    7,004.00x = 43,344,666.10
  5. Step 5: Solve for x
    x = 43,344,666.10/7,004.00
  6. Step 6: Final answer
    x = 6,188.56

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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.