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Finding the Fourth Proportional to 6,858.93, 10,288.49 and 4,533.87

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Solution

The fourth proportional to 6,858.93, 10,288.49 and 4,533.87 is: 6,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.93 : 10,288.49 = 4,533.87 : x
  2. Step 2: Convert to fraction form
    6,858.93/10,288.49 = 4,533.87/x
  3. Step 3: Cross multiply
    6,858.93x = 10,288.49 × 4,533.87
  4. Step 4: Simplify right side
    6,858.93x = 46,646,653.49
  5. Step 5: Solve for x
    x = 46,646,653.49/6,858.93
  6. Step 6: Final answer
    x = 6,800.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.