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Finding the Fourth Proportional to 10,699.12, 16,055.16 and 4,129.84

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Solution

The fourth proportional to 10,699.12, 16,055.16 and 4,129.84 is: 6,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.12 : 16,055.16 = 4,129.84 : x
  2. Step 2: Convert to fraction form
    10,699.12/16,055.16 = 4,129.84/x
  3. Step 3: Cross multiply
    10,699.12x = 16,055.16 × 4,129.84
  4. Step 4: Simplify right side
    10,699.12x = 66,305,241.97
  5. Step 5: Solve for x
    x = 66,305,241.97/10,699.12
  6. Step 6: Final answer
    x = 6,197.26

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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.