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Finding the Fourth Proportional to 10,343.54, 14,274.06 and 5,627.79

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Solution

The fourth proportional to 10,343.54, 14,274.06 and 5,627.79 is: 7,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.54 : 14,274.06 = 5,627.79 : x
  2. Step 2: Convert to fraction form
    10,343.54/14,274.06 = 5,627.79/x
  3. Step 3: Cross multiply
    10,343.54x = 14,274.06 × 5,627.79
  4. Step 4: Simplify right side
    10,343.54x = 80,331,412.13
  5. Step 5: Solve for x
    x = 80,331,412.13/10,343.54
  6. Step 6: Final answer
    x = 7,766.34

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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.