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Finding the Fourth Proportional to 7,111.56, 9,814.92 and 4,317.12

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Solution

The fourth proportional to 7,111.56, 9,814.92 and 4,317.12 is: 5,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.56 : 9,814.92 = 4,317.12 : x
  2. Step 2: Convert to fraction form
    7,111.56/9,814.92 = 4,317.12/x
  3. Step 3: Cross multiply
    7,111.56x = 9,814.92 × 4,317.12
  4. Step 4: Simplify right side
    7,111.56x = 42,372,187.43
  5. Step 5: Solve for x
    x = 42,372,187.43/7,111.56
  6. Step 6: Final answer
    x = 5,958.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.