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Finding the Fourth Proportional to 12,671, 17,486.52 and 7,082

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Solution

The fourth proportional to 12,671, 17,486.52 and 7,082 is: 9,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671 : 17,486.52 = 7,082 : x
  2. Step 2: Convert to fraction form
    12,671/17,486.52 = 7,082/x
  3. Step 3: Cross multiply
    12,671x = 17,486.52 × 7,082
  4. Step 4: Simplify right side
    12,671x = 123,839,534.64
  5. Step 5: Solve for x
    x = 123,839,534.64/12,671
  6. Step 6: Final answer
    x = 9,773.46

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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.