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Finding the Fourth Proportional to 7,962.84, 10,992.30 and 5,449.02

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Solution

The fourth proportional to 7,962.84, 10,992.30 and 5,449.02 is: 7,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.84 : 10,992.30 = 5,449.02 : x
  2. Step 2: Convert to fraction form
    7,962.84/10,992.30 = 5,449.02/x
  3. Step 3: Cross multiply
    7,962.84x = 10,992.30 × 5,449.02
  4. Step 4: Simplify right side
    7,962.84x = 59,897,262.55
  5. Step 5: Solve for x
    x = 59,897,262.55/7,962.84
  6. Step 6: Final answer
    x = 7,522.10

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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.