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Finding the Fourth Proportional to 10,963.46, 16,447.65 and 5,116.88

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Solution

The fourth proportional to 10,963.46, 16,447.65 and 5,116.88 is: 7,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.46 : 16,447.65 = 5,116.88 : x
  2. Step 2: Convert to fraction form
    10,963.46/16,447.65 = 5,116.88/x
  3. Step 3: Cross multiply
    10,963.46x = 16,447.65 × 5,116.88
  4. Step 4: Simplify right side
    10,963.46x = 84,160,673.26
  5. Step 5: Solve for x
    x = 84,160,673.26/10,963.46
  6. Step 6: Final answer
    x = 7,676.47

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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.