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Finding the Fourth Proportional to 10,992.80, 16,485.36 and 5,152.16

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Solution

The fourth proportional to 10,992.80, 16,485.36 and 5,152.16 is: 7,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.80 : 16,485.36 = 5,152.16 : x
  2. Step 2: Convert to fraction form
    10,992.80/16,485.36 = 5,152.16/x
  3. Step 3: Cross multiply
    10,992.80x = 16,485.36 × 5,152.16
  4. Step 4: Simplify right side
    10,992.80x = 84,935,212.38
  5. Step 5: Solve for x
    x = 84,935,212.38/10,992.80
  6. Step 6: Final answer
    x = 7,726.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.