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Finding the Fourth Proportional to 7,141.86, 10,709.37 and 4,219.38

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Solution

The fourth proportional to 7,141.86, 10,709.37 and 4,219.38 is: 6,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.86 : 10,709.37 = 4,219.38 : x
  2. Step 2: Convert to fraction form
    7,141.86/10,709.37 = 4,219.38/x
  3. Step 3: Cross multiply
    7,141.86x = 10,709.37 × 4,219.38
  4. Step 4: Simplify right side
    7,141.86x = 45,186,901.59
  5. Step 5: Solve for x
    x = 45,186,901.59/7,141.86
  6. Step 6: Final answer
    x = 6,327.05

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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.