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Finding the Fourth Proportional to 10,639.50, 14,682.51 and 6,446.94

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Solution

The fourth proportional to 10,639.50, 14,682.51 and 6,446.94 is: 8,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.50 : 14,682.51 = 6,446.94 : x
  2. Step 2: Convert to fraction form
    10,639.50/14,682.51 = 6,446.94/x
  3. Step 3: Cross multiply
    10,639.50x = 14,682.51 × 6,446.94
  4. Step 4: Simplify right side
    10,639.50x = 94,657,261.02
  5. Step 5: Solve for x
    x = 94,657,261.02/10,639.50
  6. Step 6: Final answer
    x = 8,896.78

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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.