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Finding the Fourth Proportional to 10,674.10, 16,006.35 and 4,098.10

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Solution

The fourth proportional to 10,674.10, 16,006.35 and 4,098.10 is: 6,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.10 : 16,006.35 = 4,098.10 : x
  2. Step 2: Convert to fraction form
    10,674.10/16,006.35 = 4,098.10/x
  3. Step 3: Cross multiply
    10,674.10x = 16,006.35 × 4,098.10
  4. Step 4: Simplify right side
    10,674.10x = 65,595,622.94
  5. Step 5: Solve for x
    x = 65,595,622.94/10,674.10
  6. Step 6: Final answer
    x = 6,145.31

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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.