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Finding the Fourth Proportional to 10,946.86, 15,107.03 and 6,474.44

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Solution

The fourth proportional to 10,946.86, 15,107.03 and 6,474.44 is: 8,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.86 : 15,107.03 = 6,474.44 : x
  2. Step 2: Convert to fraction form
    10,946.86/15,107.03 = 6,474.44/x
  3. Step 3: Cross multiply
    10,946.86x = 15,107.03 × 6,474.44
  4. Step 4: Simplify right side
    10,946.86x = 97,809,613.27
  5. Step 5: Solve for x
    x = 97,809,613.27/10,946.86
  6. Step 6: Final answer
    x = 8,934.95

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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.