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Finding the Fourth Proportional to 11,730.74, 16,193.73 and 6,951.46

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Solution

The fourth proportional to 11,730.74, 16,193.73 and 6,951.46 is: 9,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.74 : 16,193.73 = 6,951.46 : x
  2. Step 2: Convert to fraction form
    11,730.74/16,193.73 = 6,951.46/x
  3. Step 3: Cross multiply
    11,730.74x = 16,193.73 × 6,951.46
  4. Step 4: Simplify right side
    11,730.74x = 112,570,066.35
  5. Step 5: Solve for x
    x = 112,570,066.35/11,730.74
  6. Step 6: Final answer
    x = 9,596.16

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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.