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Finding the Fourth Proportional to 11,925, 17,885.04 and 6,924.24

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Solution

The fourth proportional to 11,925, 17,885.04 and 6,924.24 is: 10,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925 : 17,885.04 = 6,924.24 : x
  2. Step 2: Convert to fraction form
    11,925/17,885.04 = 6,924.24/x
  3. Step 3: Cross multiply
    11,925x = 17,885.04 × 6,924.24
  4. Step 4: Simplify right side
    11,925x = 123,840,309.37
  5. Step 5: Solve for x
    x = 123,840,309.37/11,925
  6. Step 6: Final answer
    x = 10,384.93

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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.