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Finding the Fourth Proportional to 11,257.64, 16,885.18 and 3,049

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Solution

The fourth proportional to 11,257.64, 16,885.18 and 3,049 is: 4,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.64 : 16,885.18 = 3,049 : x
  2. Step 2: Convert to fraction form
    11,257.64/16,885.18 = 3,049/x
  3. Step 3: Cross multiply
    11,257.64x = 16,885.18 × 3,049
  4. Step 4: Simplify right side
    11,257.64x = 51,482,913.82
  5. Step 5: Solve for x
    x = 51,482,913.82/11,257.64
  6. Step 6: Final answer
    x = 4,573.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.