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Finding the Fourth Proportional to 10,393.49, 14,343.01 and 5,613.43

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Solution

The fourth proportional to 10,393.49, 14,343.01 and 5,613.43 is: 7,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.49 : 14,343.01 = 5,613.43 : x
  2. Step 2: Convert to fraction form
    10,393.49/14,343.01 = 5,613.43/x
  3. Step 3: Cross multiply
    10,393.49x = 14,343.01 × 5,613.43
  4. Step 4: Simplify right side
    10,393.49x = 80,513,523.94
  5. Step 5: Solve for x
    x = 80,513,523.94/10,393.49
  6. Step 6: Final answer
    x = 7,746.54

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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.