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Finding the Fourth Proportional to 10,493.96, 14,483.04 and 6,016.83

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Solution

The fourth proportional to 10,493.96, 14,483.04 and 6,016.83 is: 8,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.96 : 14,483.04 = 6,016.83 : x
  2. Step 2: Convert to fraction form
    10,493.96/14,483.04 = 6,016.83/x
  3. Step 3: Cross multiply
    10,493.96x = 14,483.04 × 6,016.83
  4. Step 4: Simplify right side
    10,493.96x = 87,141,989.56
  5. Step 5: Solve for x
    x = 87,141,989.56/10,493.96
  6. Step 6: Final answer
    x = 8,304.02

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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.