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Finding the Fourth Proportional to 7,242.86, 10,847.27 and 3,533.46

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Solution

The fourth proportional to 7,242.86, 10,847.27 and 3,533.46 is: 5,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.86 : 10,847.27 = 3,533.46 : x
  2. Step 2: Convert to fraction form
    7,242.86/10,847.27 = 3,533.46/x
  3. Step 3: Cross multiply
    7,242.86x = 10,847.27 × 3,533.46
  4. Step 4: Simplify right side
    7,242.86x = 38,328,376.99
  5. Step 5: Solve for x
    x = 38,328,376.99/7,242.86
  6. Step 6: Final answer
    x = 5,291.89

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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.