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Finding the Fourth Proportional to 11,252.46, 16,878.78 and 4,678.50

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Solution

The fourth proportional to 11,252.46, 16,878.78 and 4,678.50 is: 7,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.46 : 16,878.78 = 4,678.50 : x
  2. Step 2: Convert to fraction form
    11,252.46/16,878.78 = 4,678.50/x
  3. Step 3: Cross multiply
    11,252.46x = 16,878.78 × 4,678.50
  4. Step 4: Simplify right side
    11,252.46x = 78,967,372.23
  5. Step 5: Solve for x
    x = 78,967,372.23/11,252.46
  6. Step 6: Final answer
    x = 7,017.79

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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.