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Finding the Fourth Proportional to 8,477.85, 12,724.49 and 4,532.46

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Solution

The fourth proportional to 8,477.85, 12,724.49 and 4,532.46 is: 6,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.85 : 12,724.49 = 4,532.46 : x
  2. Step 2: Convert to fraction form
    8,477.85/12,724.49 = 4,532.46/x
  3. Step 3: Cross multiply
    8,477.85x = 12,724.49 × 4,532.46
  4. Step 4: Simplify right side
    8,477.85x = 57,673,241.95
  5. Step 5: Solve for x
    x = 57,673,241.95/8,477.85
  6. Step 6: Final answer
    x = 6,802.81

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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.