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Finding the Fourth Proportional to 10,678.10, 16,026.99 and 5,416.80

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Solution

The fourth proportional to 10,678.10, 16,026.99 and 5,416.80 is: 8,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.10 : 16,026.99 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    10,678.10/16,026.99 = 5,416.80/x
  3. Step 3: Cross multiply
    10,678.10x = 16,026.99 × 5,416.80
  4. Step 4: Simplify right side
    10,678.10x = 86,814,999.43
  5. Step 5: Solve for x
    x = 86,814,999.43/10,678.10
  6. Step 6: Final answer
    x = 8,130.19

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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.