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Finding the Fourth Proportional to 7,111.61, 10,667.37 and 3,826.25

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Solution

The fourth proportional to 7,111.61, 10,667.37 and 3,826.25 is: 5,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.61 : 10,667.37 = 3,826.25 : x
  2. Step 2: Convert to fraction form
    7,111.61/10,667.37 = 3,826.25/x
  3. Step 3: Cross multiply
    7,111.61x = 10,667.37 × 3,826.25
  4. Step 4: Simplify right side
    7,111.61x = 40,816,024.46
  5. Step 5: Solve for x
    x = 40,816,024.46/7,111.61
  6. Step 6: Final answer
    x = 5,739.35

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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.