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Finding the Fourth Proportional to 11,671, 16,100.42 and 7,895.48

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Solution

The fourth proportional to 11,671, 16,100.42 and 7,895.48 is: 10,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671 : 16,100.42 = 7,895.48 : x
  2. Step 2: Convert to fraction form
    11,671/16,100.42 = 7,895.48/x
  3. Step 3: Cross multiply
    11,671x = 16,100.42 × 7,895.48
  4. Step 4: Simplify right side
    11,671x = 127,120,544.10
  5. Step 5: Solve for x
    x = 127,120,544.10/11,671
  6. Step 6: Final answer
    x = 10,892.00

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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.