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Finding the Fourth Proportional to 10,735.50, 14,814.99 and 6,019.95

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Solution

The fourth proportional to 10,735.50, 14,814.99 and 6,019.95 is: 8,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.50 : 14,814.99 = 6,019.95 : x
  2. Step 2: Convert to fraction form
    10,735.50/14,814.99 = 6,019.95/x
  3. Step 3: Cross multiply
    10,735.50x = 14,814.99 × 6,019.95
  4. Step 4: Simplify right side
    10,735.50x = 89,185,499.05
  5. Step 5: Solve for x
    x = 89,185,499.05/10,735.50
  6. Step 6: Final answer
    x = 8,307.53

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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.