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Finding the Fourth Proportional to 10,212.99, 14,093.39 and 5,736.93

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Solution

The fourth proportional to 10,212.99, 14,093.39 and 5,736.93 is: 7,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.99 : 14,093.39 = 5,736.93 : x
  2. Step 2: Convert to fraction form
    10,212.99/14,093.39 = 5,736.93/x
  3. Step 3: Cross multiply
    10,212.99x = 14,093.39 × 5,736.93
  4. Step 4: Simplify right side
    10,212.99x = 80,852,763.21
  5. Step 5: Solve for x
    x = 80,852,763.21/10,212.99
  6. Step 6: Final answer
    x = 7,916.66

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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.