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Finding the Fourth Proportional to 11,962.68, 16,500.72 and 7,719.12

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Solution

The fourth proportional to 11,962.68, 16,500.72 and 7,719.12 is: 10,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.68 : 16,500.72 = 7,719.12 : x
  2. Step 2: Convert to fraction form
    11,962.68/16,500.72 = 7,719.12/x
  3. Step 3: Cross multiply
    11,962.68x = 16,500.72 × 7,719.12
  4. Step 4: Simplify right side
    11,962.68x = 127,371,037.77
  5. Step 5: Solve for x
    x = 127,371,037.77/11,962.68
  6. Step 6: Final answer
    x = 10,647.37

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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.