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Finding the Fourth Proportional to 11,783.52, 17,671.50 and 11,007

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Solution

The fourth proportional to 11,783.52, 17,671.50 and 11,007 is: 16,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.52 : 17,671.50 = 11,007 : x
  2. Step 2: Convert to fraction form
    11,783.52/17,671.50 = 11,007/x
  3. Step 3: Cross multiply
    11,783.52x = 17,671.50 × 11,007
  4. Step 4: Simplify right side
    11,783.52x = 194,510,200.50
  5. Step 5: Solve for x
    x = 194,510,200.50/11,783.52
  6. Step 6: Final answer
    x = 16,506.97

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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.