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Finding the Fourth Proportional to 11,783.70, 17,675.55 and 11,006.10

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Solution

The fourth proportional to 11,783.70, 17,675.55 and 11,006.10 is: 16,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.70 : 17,675.55 = 11,006.10 : x
  2. Step 2: Convert to fraction form
    11,783.70/17,675.55 = 11,006.10/x
  3. Step 3: Cross multiply
    11,783.70x = 17,675.55 × 11,006.10
  4. Step 4: Simplify right side
    11,783.70x = 194,538,870.86
  5. Step 5: Solve for x
    x = 194,538,870.86/11,783.70
  6. Step 6: Final answer
    x = 16,509.15

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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.