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Finding the Fourth Proportional to 10,676.10, 16,014.15 and 7,176.90

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Solution

The fourth proportional to 10,676.10, 16,014.15 and 7,176.90 is: 10,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.10 : 16,014.15 = 7,176.90 : x
  2. Step 2: Convert to fraction form
    10,676.10/16,014.15 = 7,176.90/x
  3. Step 3: Cross multiply
    10,676.10x = 16,014.15 × 7,176.90
  4. Step 4: Simplify right side
    10,676.10x = 114,931,953.14
  5. Step 5: Solve for x
    x = 114,931,953.14/10,676.10
  6. Step 6: Final answer
    x = 10,765.35

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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.