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Finding the Fourth Proportional to 10,941.44, 16,420.16 and 4,369.52

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Solution

The fourth proportional to 10,941.44, 16,420.16 and 4,369.52 is: 6,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.44 : 16,420.16 = 4,369.52 : x
  2. Step 2: Convert to fraction form
    10,941.44/16,420.16 = 4,369.52/x
  3. Step 3: Cross multiply
    10,941.44x = 16,420.16 × 4,369.52
  4. Step 4: Simplify right side
    10,941.44x = 71,748,217.52
  5. Step 5: Solve for x
    x = 71,748,217.52/10,941.44
  6. Step 6: Final answer
    x = 6,557.47

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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.