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Finding the Fourth Proportional to 10,906.15, 16,360.94 and 4,666.20

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Solution

The fourth proportional to 10,906.15, 16,360.94 and 4,666.20 is: 7,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.15 : 16,360.94 = 4,666.20 : x
  2. Step 2: Convert to fraction form
    10,906.15/16,360.94 = 4,666.20/x
  3. Step 3: Cross multiply
    10,906.15x = 16,360.94 × 4,666.20
  4. Step 4: Simplify right side
    10,906.15x = 76,343,429.89
  5. Step 5: Solve for x
    x = 76,343,429.89/10,906.15
  6. Step 6: Final answer
    x = 7,000.04

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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.