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Finding the Fourth Proportional to 7,833.88, 11,749.02 and 3,616.12

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Solution

The fourth proportional to 7,833.88, 11,749.02 and 3,616.12 is: 5,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.88 : 11,749.02 = 3,616.12 : x
  2. Step 2: Convert to fraction form
    7,833.88/11,749.02 = 3,616.12/x
  3. Step 3: Cross multiply
    7,833.88x = 11,749.02 × 3,616.12
  4. Step 4: Simplify right side
    7,833.88x = 42,485,866.20
  5. Step 5: Solve for x
    x = 42,485,866.20/7,833.88
  6. Step 6: Final answer
    x = 5,423.35

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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.