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Finding the Fourth Proportional to 7,647.52, 11,469.91 and 4,865.93

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Solution

The fourth proportional to 7,647.52, 11,469.91 and 4,865.93 is: 7,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.52 : 11,469.91 = 4,865.93 : x
  2. Step 2: Convert to fraction form
    7,647.52/11,469.91 = 4,865.93/x
  3. Step 3: Cross multiply
    7,647.52x = 11,469.91 × 4,865.93
  4. Step 4: Simplify right side
    7,647.52x = 55,811,752.66
  5. Step 5: Solve for x
    x = 55,811,752.66/7,647.52
  6. Step 6: Final answer
    x = 7,298.02

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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.