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Finding the Fourth Proportional to 7,838.63, 11,759.97 and 2,909.68

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Solution

The fourth proportional to 7,838.63, 11,759.97 and 2,909.68 is: 4,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.63 : 11,759.97 = 2,909.68 : x
  2. Step 2: Convert to fraction form
    7,838.63/11,759.97 = 2,909.68/x
  3. Step 3: Cross multiply
    7,838.63x = 11,759.97 × 2,909.68
  4. Step 4: Simplify right side
    7,838.63x = 34,217,749.51
  5. Step 5: Solve for x
    x = 34,217,749.51/7,838.63
  6. Step 6: Final answer
    x = 4,365.27

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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.