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Finding the Fourth Proportional to 7,142.79, 10,709.87 and 4,827.27

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Solution

The fourth proportional to 7,142.79, 10,709.87 and 4,827.27 is: 7,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.79 : 10,709.87 = 4,827.27 : x
  2. Step 2: Convert to fraction form
    7,142.79/10,709.87 = 4,827.27/x
  3. Step 3: Cross multiply
    7,142.79x = 10,709.87 × 4,827.27
  4. Step 4: Simplify right side
    7,142.79x = 51,699,410.02
  5. Step 5: Solve for x
    x = 51,699,410.02/7,142.79
  6. Step 6: Final answer
    x = 7,237.99

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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.