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Finding the Fourth Proportional to 7,762.23, 11,634.10 and 4,468.50

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Solution

The fourth proportional to 7,762.23, 11,634.10 and 4,468.50 is: 6,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.23 : 11,634.10 = 4,468.50 : x
  2. Step 2: Convert to fraction form
    7,762.23/11,634.10 = 4,468.50/x
  3. Step 3: Cross multiply
    7,762.23x = 11,634.10 × 4,468.50
  4. Step 4: Simplify right side
    7,762.23x = 51,986,964.68
  5. Step 5: Solve for x
    x = 51,986,964.68/7,762.23
  6. Step 6: Final answer
    x = 6,697.43

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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.