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Finding the Fourth Proportional to 10,485.42, 14,469.33 and 5,768.79

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Solution

The fourth proportional to 10,485.42, 14,469.33 and 5,768.79 is: 7,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.42 : 14,469.33 = 5,768.79 : x
  2. Step 2: Convert to fraction form
    10,485.42/14,469.33 = 5,768.79/x
  3. Step 3: Cross multiply
    10,485.42x = 14,469.33 × 5,768.79
  4. Step 4: Simplify right side
    10,485.42x = 83,470,526.21
  5. Step 5: Solve for x
    x = 83,470,526.21/10,485.42
  6. Step 6: Final answer
    x = 7,960.63

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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.