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Finding the Fourth Proportional to 7,111.16, 10,667.86 and 1,917.24

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Solution

The fourth proportional to 7,111.16, 10,667.86 and 1,917.24 is: 2,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.16 : 10,667.86 = 1,917.24 : x
  2. Step 2: Convert to fraction form
    7,111.16/10,667.86 = 1,917.24/x
  3. Step 3: Cross multiply
    7,111.16x = 10,667.86 × 1,917.24
  4. Step 4: Simplify right side
    7,111.16x = 20,452,847.91
  5. Step 5: Solve for x
    x = 20,452,847.91/7,111.16
  6. Step 6: Final answer
    x = 2,876.16

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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.