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Finding the Fourth Proportional to 11,206.85, 16,802.47 and 4,963.46

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Solution

The fourth proportional to 11,206.85, 16,802.47 and 4,963.46 is: 7,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.85 : 16,802.47 = 4,963.46 : x
  2. Step 2: Convert to fraction form
    11,206.85/16,802.47 = 4,963.46/x
  3. Step 3: Cross multiply
    11,206.85x = 16,802.47 × 4,963.46
  4. Step 4: Simplify right side
    11,206.85x = 83,398,362.93
  5. Step 5: Solve for x
    x = 83,398,362.93/11,206.85
  6. Step 6: Final answer
    x = 7,441.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.