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Finding the Fourth Proportional to 11,934.34, 16,461.82 and 7,333.10

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Solution

The fourth proportional to 11,934.34, 16,461.82 and 7,333.10 is: 10,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.34 : 16,461.82 = 7,333.10 : x
  2. Step 2: Convert to fraction form
    11,934.34/16,461.82 = 7,333.10/x
  3. Step 3: Cross multiply
    11,934.34x = 16,461.82 × 7,333.10
  4. Step 4: Simplify right side
    11,934.34x = 120,716,172.24
  5. Step 5: Solve for x
    x = 120,716,172.24/11,934.34
  6. Step 6: Final answer
    x = 10,115.03

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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.