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Finding the Fourth Proportional to 11,642.64, 17,467.44 and 6,715.92

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Solution

The fourth proportional to 11,642.64, 17,467.44 and 6,715.92 is: 10,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.64 : 17,467.44 = 6,715.92 : x
  2. Step 2: Convert to fraction form
    11,642.64/17,467.44 = 6,715.92/x
  3. Step 3: Cross multiply
    11,642.64x = 17,467.44 × 6,715.92
  4. Step 4: Simplify right side
    11,642.64x = 117,309,929.64
  5. Step 5: Solve for x
    x = 117,309,929.64/11,642.64
  6. Step 6: Final answer
    x = 10,075.89

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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.