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Finding the Fourth Proportional to 12,709.87, 19,072.29 and 5,313.76

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Solution

The fourth proportional to 12,709.87, 19,072.29 and 5,313.76 is: 7,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.87 : 19,072.29 = 5,313.76 : x
  2. Step 2: Convert to fraction form
    12,709.87/19,072.29 = 5,313.76/x
  3. Step 3: Cross multiply
    12,709.87x = 19,072.29 × 5,313.76
  4. Step 4: Simplify right side
    12,709.87x = 101,345,571.71
  5. Step 5: Solve for x
    x = 101,345,571.71/12,709.87
  6. Step 6: Final answer
    x = 7,973.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.