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Finding the Fourth Proportional to 10,951.10, 16,426.65 and 9,719.90

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Solution

The fourth proportional to 10,951.10, 16,426.65 and 9,719.90 is: 14,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.10 : 16,426.65 = 9,719.90 : x
  2. Step 2: Convert to fraction form
    10,951.10/16,426.65 = 9,719.90/x
  3. Step 3: Cross multiply
    10,951.10x = 16,426.65 × 9,719.90
  4. Step 4: Simplify right side
    10,951.10x = 159,665,395.34
  5. Step 5: Solve for x
    x = 159,665,395.34/10,951.10
  6. Step 6: Final answer
    x = 14,579.85

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Why These Related Problems?

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