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Finding the Fourth Proportional to 10,677.76, 14,736 and 5,963.68

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Solution

The fourth proportional to 10,677.76, 14,736 and 5,963.68 is: 8,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.76 : 14,736 = 5,963.68 : x
  2. Step 2: Convert to fraction form
    10,677.76/14,736 = 5,963.68/x
  3. Step 3: Cross multiply
    10,677.76x = 14,736 × 5,963.68
  4. Step 4: Simplify right side
    10,677.76x = 87,880,788.48
  5. Step 5: Solve for x
    x = 87,880,788.48/10,677.76
  6. Step 6: Final answer
    x = 8,230.26

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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.