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Finding the Fourth Proportional to 10,511.50, 14,526.78 and 8,620.12

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Solution

The fourth proportional to 10,511.50, 14,526.78 and 8,620.12 is: 11,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.50 : 14,526.78 = 8,620.12 : x
  2. Step 2: Convert to fraction form
    10,511.50/14,526.78 = 8,620.12/x
  3. Step 3: Cross multiply
    10,511.50x = 14,526.78 × 8,620.12
  4. Step 4: Simplify right side
    10,511.50x = 125,222,586.81
  5. Step 5: Solve for x
    x = 125,222,586.81/10,511.50
  6. Step 6: Final answer
    x = 11,912.91

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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.