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Finding the Fourth Proportional to 10,814.06, 14,922.50 and 6,099.50

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Solution

The fourth proportional to 10,814.06, 14,922.50 and 6,099.50 is: 8,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.06 : 14,922.50 = 6,099.50 : x
  2. Step 2: Convert to fraction form
    10,814.06/14,922.50 = 6,099.50/x
  3. Step 3: Cross multiply
    10,814.06x = 14,922.50 × 6,099.50
  4. Step 4: Simplify right side
    10,814.06x = 91,019,788.75
  5. Step 5: Solve for x
    x = 91,019,788.75/10,814.06
  6. Step 6: Final answer
    x = 8,416.80

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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.