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Finding the Fourth Proportional to 11,977.26, 16,527.08 and 6,941.45

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Solution

The fourth proportional to 11,977.26, 16,527.08 and 6,941.45 is: 9,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.26 : 16,527.08 = 6,941.45 : x
  2. Step 2: Convert to fraction form
    11,977.26/16,527.08 = 6,941.45/x
  3. Step 3: Cross multiply
    11,977.26x = 16,527.08 × 6,941.45
  4. Step 4: Simplify right side
    11,977.26x = 114,721,834.18
  5. Step 5: Solve for x
    x = 114,721,834.18/11,977.26
  6. Step 6: Final answer
    x = 9,578.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.