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Finding the Fourth Proportional to 10,745.88, 16,116.30 and 5,196.48

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Solution

The fourth proportional to 10,745.88, 16,116.30 and 5,196.48 is: 7,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.88 : 16,116.30 = 5,196.48 : x
  2. Step 2: Convert to fraction form
    10,745.88/16,116.30 = 5,196.48/x
  3. Step 3: Cross multiply
    10,745.88x = 16,116.30 × 5,196.48
  4. Step 4: Simplify right side
    10,745.88x = 83,748,030.62
  5. Step 5: Solve for x
    x = 83,748,030.62/10,745.88
  6. Step 6: Final answer
    x = 7,793.50

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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.