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Finding the Fourth Proportional to 6,762.05, 10,148.32 and 4,421.42

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Solution

The fourth proportional to 6,762.05, 10,148.32 and 4,421.42 is: 6,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.05 : 10,148.32 = 4,421.42 : x
  2. Step 2: Convert to fraction form
    6,762.05/10,148.32 = 4,421.42/x
  3. Step 3: Cross multiply
    6,762.05x = 10,148.32 × 4,421.42
  4. Step 4: Simplify right side
    6,762.05x = 44,870,010.07
  5. Step 5: Solve for x
    x = 44,870,010.07/6,762.05
  6. Step 6: Final answer
    x = 6,635.56

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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.