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Finding the Fourth Proportional to 10,350, 15,526.62 and 3,774.96

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Solution

The fourth proportional to 10,350, 15,526.62 and 3,774.96 is: 5,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 15,526.62 = 3,774.96 : x
  2. Step 2: Convert to fraction form
    10,350/15,526.62 = 3,774.96/x
  3. Step 3: Cross multiply
    10,350x = 15,526.62 × 3,774.96
  4. Step 4: Simplify right side
    10,350x = 58,612,369.44
  5. Step 5: Solve for x
    x = 58,612,369.44/10,350
  6. Step 6: Final answer
    x = 5,663.03

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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.