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Finding the Fourth Proportional to 7,111.42, 10,667.18 and 4,661.75

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Solution

The fourth proportional to 7,111.42, 10,667.18 and 4,661.75 is: 6,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.42 : 10,667.18 = 4,661.75 : x
  2. Step 2: Convert to fraction form
    7,111.42/10,667.18 = 4,661.75/x
  3. Step 3: Cross multiply
    7,111.42x = 10,667.18 × 4,661.75
  4. Step 4: Simplify right side
    7,111.42x = 49,727,649.72
  5. Step 5: Solve for x
    x = 49,727,649.72/7,111.42
  6. Step 6: Final answer
    x = 6,992.65

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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.