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Finding the Fourth Proportional to 7,965.64, 10,993.64 and 4,821.88

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Solution

The fourth proportional to 7,965.64, 10,993.64 and 4,821.88 is: 6,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.64 : 10,993.64 = 4,821.88 : x
  2. Step 2: Convert to fraction form
    7,965.64/10,993.64 = 4,821.88/x
  3. Step 3: Cross multiply
    7,965.64x = 10,993.64 × 4,821.88
  4. Step 4: Simplify right side
    7,965.64x = 53,010,012.84
  5. Step 5: Solve for x
    x = 53,010,012.84/7,965.64
  6. Step 6: Final answer
    x = 6,654.83

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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.