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Finding the Fourth Proportional to 10,783.68, 16,175.70 and 2,992.50

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Solution

The fourth proportional to 10,783.68, 16,175.70 and 2,992.50 is: 4,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.68 : 16,175.70 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    10,783.68/16,175.70 = 2,992.50/x
  3. Step 3: Cross multiply
    10,783.68x = 16,175.70 × 2,992.50
  4. Step 4: Simplify right side
    10,783.68x = 48,405,782.25
  5. Step 5: Solve for x
    x = 48,405,782.25/10,783.68
  6. Step 6: Final answer
    x = 4,488.80

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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.