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Finding the Fourth Proportional to 10,881.82, 16,307.46 and 4,633.38

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Solution

The fourth proportional to 10,881.82, 16,307.46 and 4,633.38 is: 6,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.82 : 16,307.46 = 4,633.38 : x
  2. Step 2: Convert to fraction form
    10,881.82/16,307.46 = 4,633.38/x
  3. Step 3: Cross multiply
    10,881.82x = 16,307.46 × 4,633.38
  4. Step 4: Simplify right side
    10,881.82x = 75,558,659.01
  5. Step 5: Solve for x
    x = 75,558,659.01/10,881.82
  6. Step 6: Final answer
    x = 6,943.57

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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.