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Finding the Fourth Proportional to 7,471.30, 11,201.55 and 4,185.40

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Solution

The fourth proportional to 7,471.30, 11,201.55 and 4,185.40 is: 6,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.30 : 11,201.55 = 4,185.40 : x
  2. Step 2: Convert to fraction form
    7,471.30/11,201.55 = 4,185.40/x
  3. Step 3: Cross multiply
    7,471.30x = 11,201.55 × 4,185.40
  4. Step 4: Simplify right side
    7,471.30x = 46,882,967.37
  5. Step 5: Solve for x
    x = 46,882,967.37/7,471.30
  6. Step 6: Final answer
    x = 6,275.07

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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.