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Finding the Fourth Proportional to 10,993.94, 16,463.55 and 7,691.57

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Solution

The fourth proportional to 10,993.94, 16,463.55 and 7,691.57 is: 11,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.94 : 16,463.55 = 7,691.57 : x
  2. Step 2: Convert to fraction form
    10,993.94/16,463.55 = 7,691.57/x
  3. Step 3: Cross multiply
    10,993.94x = 16,463.55 × 7,691.57
  4. Step 4: Simplify right side
    10,993.94x = 126,630,547.27
  5. Step 5: Solve for x
    x = 126,630,547.27/10,993.94
  6. Step 6: Final answer
    x = 11,518.21

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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.