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Finding the Fourth Proportional to 7,838.88, 11,760.36 and 2,909.94

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Solution

The fourth proportional to 7,838.88, 11,760.36 and 2,909.94 is: 4,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.88 : 11,760.36 = 2,909.94 : x
  2. Step 2: Convert to fraction form
    7,838.88/11,760.36 = 2,909.94/x
  3. Step 3: Cross multiply
    7,838.88x = 11,760.36 × 2,909.94
  4. Step 4: Simplify right side
    7,838.88x = 34,221,941.98
  5. Step 5: Solve for x
    x = 34,221,941.98/7,838.88
  6. Step 6: Final answer
    x = 4,365.67

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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.