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Finding the Fourth Proportional to 7,884.48, 11,814.40 and 6,709.69

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Solution

The fourth proportional to 7,884.48, 11,814.40 and 6,709.69 is: 10,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.48 : 11,814.40 = 6,709.69 : x
  2. Step 2: Convert to fraction form
    7,884.48/11,814.40 = 6,709.69/x
  3. Step 3: Cross multiply
    7,884.48x = 11,814.40 × 6,709.69
  4. Step 4: Simplify right side
    7,884.48x = 79,270,961.54
  5. Step 5: Solve for x
    x = 79,270,961.54/7,884.48
  6. Step 6: Final answer
    x = 10,054.05

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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.