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Finding the Fourth Proportional to 12,709.63, 19,071.92 and 5,313.52

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Solution

The fourth proportional to 12,709.63, 19,071.92 and 5,313.52 is: 7,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.63 : 19,071.92 = 5,313.52 : x
  2. Step 2: Convert to fraction form
    12,709.63/19,071.92 = 5,313.52/x
  3. Step 3: Cross multiply
    12,709.63x = 19,071.92 × 5,313.52
  4. Step 4: Simplify right side
    12,709.63x = 101,339,028.36
  5. Step 5: Solve for x
    x = 101,339,028.36/12,709.63
  6. Step 6: Final answer
    x = 7,973.41

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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.