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Finding the Fourth Proportional to 11,476.62, 15,830.24 and 8,284.68

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Solution

The fourth proportional to 11,476.62, 15,830.24 and 8,284.68 is: 11,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.62 : 15,830.24 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    11,476.62/15,830.24 = 8,284.68/x
  3. Step 3: Cross multiply
    11,476.62x = 15,830.24 × 8,284.68
  4. Step 4: Simplify right side
    11,476.62x = 131,148,431.30
  5. Step 5: Solve for x
    x = 131,148,431.30/11,476.62
  6. Step 6: Final answer
    x = 11,427.44

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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.