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Finding the Fourth Proportional to 10,699.89, 16,048.94 and 4,201.62

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Solution

The fourth proportional to 10,699.89, 16,048.94 and 4,201.62 is: 6,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.89 : 16,048.94 = 4,201.62 : x
  2. Step 2: Convert to fraction form
    10,699.89/16,048.94 = 4,201.62/x
  3. Step 3: Cross multiply
    10,699.89x = 16,048.94 × 4,201.62
  4. Step 4: Simplify right side
    10,699.89x = 67,431,526.27
  5. Step 5: Solve for x
    x = 67,431,526.27/10,699.89
  6. Step 6: Final answer
    x = 6,302.08

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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.