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Finding the Fourth Proportional to 10,941.72, 16,398.72 and 6,991.47

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Solution

The fourth proportional to 10,941.72, 16,398.72 and 6,991.47 is: 10,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.72 : 16,398.72 = 6,991.47 : x
  2. Step 2: Convert to fraction form
    10,941.72/16,398.72 = 6,991.47/x
  3. Step 3: Cross multiply
    10,941.72x = 16,398.72 × 6,991.47
  4. Step 4: Simplify right side
    10,941.72x = 114,651,158.92
  5. Step 5: Solve for x
    x = 114,651,158.92/10,941.72
  6. Step 6: Final answer
    x = 10,478.35

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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.