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Finding the Fourth Proportional to 7,966.62, 10,992.15 and 4,822.74

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Solution

The fourth proportional to 7,966.62, 10,992.15 and 4,822.74 is: 6,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.62 : 10,992.15 = 4,822.74 : x
  2. Step 2: Convert to fraction form
    7,966.62/10,992.15 = 4,822.74/x
  3. Step 3: Cross multiply
    7,966.62x = 10,992.15 × 4,822.74
  4. Step 4: Simplify right side
    7,966.62x = 53,012,281.49
  5. Step 5: Solve for x
    x = 53,012,281.49/7,966.62
  6. Step 6: Final answer
    x = 6,654.30

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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.