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Finding the Fourth Proportional to 10,858.67, 16,288.14 and 3,463.10

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Solution

The fourth proportional to 10,858.67, 16,288.14 and 3,463.10 is: 5,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.67 : 16,288.14 = 3,463.10 : x
  2. Step 2: Convert to fraction form
    10,858.67/16,288.14 = 3,463.10/x
  3. Step 3: Cross multiply
    10,858.67x = 16,288.14 × 3,463.10
  4. Step 4: Simplify right side
    10,858.67x = 56,407,457.63
  5. Step 5: Solve for x
    x = 56,407,457.63/10,858.67
  6. Step 6: Final answer
    x = 5,194.69

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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.