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Finding the Fourth Proportional to 11,851.26, 16,354.90 and 6,473.94

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Solution

The fourth proportional to 11,851.26, 16,354.90 and 6,473.94 is: 8,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.26 : 16,354.90 = 6,473.94 : x
  2. Step 2: Convert to fraction form
    11,851.26/16,354.90 = 6,473.94/x
  3. Step 3: Cross multiply
    11,851.26x = 16,354.90 × 6,473.94
  4. Step 4: Simplify right side
    11,851.26x = 105,880,641.31
  5. Step 5: Solve for x
    x = 105,880,641.31/11,851.26
  6. Step 6: Final answer
    x = 8,934.13

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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.