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Finding the Fourth Proportional to 6,743.34, 10,159.02 and 5,289.03

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Solution

The fourth proportional to 6,743.34, 10,159.02 and 5,289.03 is: 7,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.34 : 10,159.02 = 5,289.03 : x
  2. Step 2: Convert to fraction form
    6,743.34/10,159.02 = 5,289.03/x
  3. Step 3: Cross multiply
    6,743.34x = 10,159.02 × 5,289.03
  4. Step 4: Simplify right side
    6,743.34x = 53,731,361.55
  5. Step 5: Solve for x
    x = 53,731,361.55/6,743.34
  6. Step 6: Final answer
    x = 7,968.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.