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Finding the Fourth Proportional to 11,926.60, 17,894.96 and 6,378.50

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Solution

The fourth proportional to 11,926.60, 17,894.96 and 6,378.50 is: 9,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.60 : 17,894.96 = 6,378.50 : x
  2. Step 2: Convert to fraction form
    11,926.60/17,894.96 = 6,378.50/x
  3. Step 3: Cross multiply
    11,926.60x = 17,894.96 × 6,378.50
  4. Step 4: Simplify right side
    11,926.60x = 114,143,002.36
  5. Step 5: Solve for x
    x = 114,143,002.36/11,926.60
  6. Step 6: Final answer
    x = 9,570.46

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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.