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Finding the Fourth Proportional to 11,298.50, 15,592.50 and 6,516.66

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Solution

The fourth proportional to 11,298.50, 15,592.50 and 6,516.66 is: 8,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.50 : 15,592.50 = 6,516.66 : x
  2. Step 2: Convert to fraction form
    11,298.50/15,592.50 = 6,516.66/x
  3. Step 3: Cross multiply
    11,298.50x = 15,592.50 × 6,516.66
  4. Step 4: Simplify right side
    11,298.50x = 101,611,060.03
  5. Step 5: Solve for x
    x = 101,611,060.03/11,298.50
  6. Step 6: Final answer
    x = 8,993.33

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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.