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Finding the Fourth Proportional to 11,646.84, 17,467.02 and 3,854.64

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Solution

The fourth proportional to 11,646.84, 17,467.02 and 3,854.64 is: 5,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.84 : 17,467.02 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    11,646.84/17,467.02 = 3,854.64/x
  3. Step 3: Cross multiply
    11,646.84x = 17,467.02 × 3,854.64
  4. Step 4: Simplify right side
    11,646.84x = 67,329,073.97
  5. Step 5: Solve for x
    x = 67,329,073.97/11,646.84
  6. Step 6: Final answer
    x = 5,780.89

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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.