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Finding the Fourth Proportional to 10,204.56, 15,309.27 and 4,361.63

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Solution

The fourth proportional to 10,204.56, 15,309.27 and 4,361.63 is: 6,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.56 : 15,309.27 = 4,361.63 : x
  2. Step 2: Convert to fraction form
    10,204.56/15,309.27 = 4,361.63/x
  3. Step 3: Cross multiply
    10,204.56x = 15,309.27 × 4,361.63
  4. Step 4: Simplify right side
    10,204.56x = 66,773,294.76
  5. Step 5: Solve for x
    x = 66,773,294.76/10,204.56
  6. Step 6: Final answer
    x = 6,543.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.