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Finding the Fourth Proportional to 10,674.70, 16,014.85 and 4,101.10

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Solution

The fourth proportional to 10,674.70, 16,014.85 and 4,101.10 is: 6,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.70 : 16,014.85 = 4,101.10 : x
  2. Step 2: Convert to fraction form
    10,674.70/16,014.85 = 4,101.10/x
  3. Step 3: Cross multiply
    10,674.70x = 16,014.85 × 4,101.10
  4. Step 4: Simplify right side
    10,674.70x = 65,678,501.34
  5. Step 5: Solve for x
    x = 65,678,501.34/10,674.70
  6. Step 6: Final answer
    x = 6,152.73

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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.