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Finding the Fourth Proportional to 7,420.94, 10,239.68 and 4,234.24

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Solution

The fourth proportional to 7,420.94, 10,239.68 and 4,234.24 is: 5,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.94 : 10,239.68 = 4,234.24 : x
  2. Step 2: Convert to fraction form
    7,420.94/10,239.68 = 4,234.24/x
  3. Step 3: Cross multiply
    7,420.94x = 10,239.68 × 4,234.24
  4. Step 4: Simplify right side
    7,420.94x = 43,357,289.76
  5. Step 5: Solve for x
    x = 43,357,289.76/7,420.94
  6. Step 6: Final answer
    x = 5,842.56

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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.