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Finding the Fourth Proportional to 11,921.95, 16,447.16 and 7,203.50

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Solution

The fourth proportional to 11,921.95, 16,447.16 and 7,203.50 is: 9,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.95 : 16,447.16 = 7,203.50 : x
  2. Step 2: Convert to fraction form
    11,921.95/16,447.16 = 7,203.50/x
  3. Step 3: Cross multiply
    11,921.95x = 16,447.16 × 7,203.50
  4. Step 4: Simplify right side
    11,921.95x = 118,477,081.04
  5. Step 5: Solve for x
    x = 118,477,081.04/11,921.95
  6. Step 6: Final answer
    x = 9,937.73

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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.