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Finding the Fourth Proportional to 8,257.99, 12,365.84 and 4,556.11

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Solution

The fourth proportional to 8,257.99, 12,365.84 and 4,556.11 is: 6,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.99 : 12,365.84 = 4,556.11 : x
  2. Step 2: Convert to fraction form
    8,257.99/12,365.84 = 4,556.11/x
  3. Step 3: Cross multiply
    8,257.99x = 12,365.84 × 4,556.11
  4. Step 4: Simplify right side
    8,257.99x = 56,340,127.28
  5. Step 5: Solve for x
    x = 56,340,127.28/8,257.99
  6. Step 6: Final answer
    x = 6,822.50

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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.