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Finding the Fourth Proportional to 10,674.45, 14,728.45 and 6,195.81

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Solution

The fourth proportional to 10,674.45, 14,728.45 and 6,195.81 is: 8,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.45 : 14,728.45 = 6,195.81 : x
  2. Step 2: Convert to fraction form
    10,674.45/14,728.45 = 6,195.81/x
  3. Step 3: Cross multiply
    10,674.45x = 14,728.45 × 6,195.81
  4. Step 4: Simplify right side
    10,674.45x = 91,254,677.79
  5. Step 5: Solve for x
    x = 91,254,677.79/10,674.45
  6. Step 6: Final answer
    x = 8,548.89

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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.