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Finding the Fourth Proportional to 7,234.63, 10,851.96 and 1,762.63

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Solution

The fourth proportional to 7,234.63, 10,851.96 and 1,762.63 is: 2,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.63 : 10,851.96 = 1,762.63 : x
  2. Step 2: Convert to fraction form
    7,234.63/10,851.96 = 1,762.63/x
  3. Step 3: Cross multiply
    7,234.63x = 10,851.96 × 1,762.63
  4. Step 4: Simplify right side
    7,234.63x = 19,127,990.25
  5. Step 5: Solve for x
    x = 19,127,990.25/7,234.63
  6. Step 6: Final answer
    x = 2,643.95

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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.