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Finding the Fourth Proportional to 11,678.99, 16,120.08 and 6,646.19

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Solution

The fourth proportional to 11,678.99, 16,120.08 and 6,646.19 is: 9,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.99 : 16,120.08 = 6,646.19 : x
  2. Step 2: Convert to fraction form
    11,678.99/16,120.08 = 6,646.19/x
  3. Step 3: Cross multiply
    11,678.99x = 16,120.08 × 6,646.19
  4. Step 4: Simplify right side
    11,678.99x = 107,137,033.89
  5. Step 5: Solve for x
    x = 107,137,033.89/11,678.99
  6. Step 6: Final answer
    x = 9,173.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.