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Finding the Fourth Proportional to 12,968.62, 17,892.12 and 7,302.46

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Solution

The fourth proportional to 12,968.62, 17,892.12 and 7,302.46 is: 10,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.62 : 17,892.12 = 7,302.46 : x
  2. Step 2: Convert to fraction form
    12,968.62/17,892.12 = 7,302.46/x
  3. Step 3: Cross multiply
    12,968.62x = 17,892.12 × 7,302.46
  4. Step 4: Simplify right side
    12,968.62x = 130,656,490.62
  5. Step 5: Solve for x
    x = 130,656,490.62/12,968.62
  6. Step 6: Final answer
    x = 10,074.82

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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.