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Finding the Fourth Proportional to 11,884.95, 16,396.43 and 6,846.47

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Solution

The fourth proportional to 11,884.95, 16,396.43 and 6,846.47 is: 9,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.95 : 16,396.43 = 6,846.47 : x
  2. Step 2: Convert to fraction form
    11,884.95/16,396.43 = 6,846.47/x
  3. Step 3: Cross multiply
    11,884.95x = 16,396.43 × 6,846.47
  4. Step 4: Simplify right side
    11,884.95x = 112,257,666.10
  5. Step 5: Solve for x
    x = 112,257,666.10/11,884.95
  6. Step 6: Final answer
    x = 9,445.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.