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Finding the Fourth Proportional to 10,990.74, 16,483.04 and 4,663.46

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Solution

The fourth proportional to 10,990.74, 16,483.04 and 4,663.46 is: 6,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.74 : 16,483.04 = 4,663.46 : x
  2. Step 2: Convert to fraction form
    10,990.74/16,483.04 = 4,663.46/x
  3. Step 3: Cross multiply
    10,990.74x = 16,483.04 × 4,663.46
  4. Step 4: Simplify right side
    10,990.74x = 76,867,997.72
  5. Step 5: Solve for x
    x = 76,867,997.72/10,990.74
  6. Step 6: Final answer
    x = 6,993.89

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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.