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Finding the Fourth Proportional to 11,450.63, 15,802.85 and 6,414.79

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Solution

The fourth proportional to 11,450.63, 15,802.85 and 6,414.79 is: 8,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.63 : 15,802.85 = 6,414.79 : x
  2. Step 2: Convert to fraction form
    11,450.63/15,802.85 = 6,414.79/x
  3. Step 3: Cross multiply
    11,450.63x = 15,802.85 × 6,414.79
  4. Step 4: Simplify right side
    11,450.63x = 101,371,892.57
  5. Step 5: Solve for x
    x = 101,371,892.57/11,450.63
  6. Step 6: Final answer
    x = 8,852.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.