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Finding the Fourth Proportional to 7,964.50, 10,992.23 and 4,822.51

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Solution

The fourth proportional to 7,964.50, 10,992.23 and 4,822.51 is: 6,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.50 : 10,992.23 = 4,822.51 : x
  2. Step 2: Convert to fraction form
    7,964.50/10,992.23 = 4,822.51/x
  3. Step 3: Cross multiply
    7,964.50x = 10,992.23 × 4,822.51
  4. Step 4: Simplify right side
    7,964.50x = 53,010,139.10
  5. Step 5: Solve for x
    x = 53,010,139.10/7,964.50
  6. Step 6: Final answer
    x = 6,655.80

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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.