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Finding the Fourth Proportional to 11,666.16, 17,505.96 and 6,987.60

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Solution

The fourth proportional to 11,666.16, 17,505.96 and 6,987.60 is: 10,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.16 : 17,505.96 = 6,987.60 : x
  2. Step 2: Convert to fraction form
    11,666.16/17,505.96 = 6,987.60/x
  3. Step 3: Cross multiply
    11,666.16x = 17,505.96 × 6,987.60
  4. Step 4: Simplify right side
    11,666.16x = 122,324,646.10
  5. Step 5: Solve for x
    x = 122,324,646.10/11,666.16
  6. Step 6: Final answer
    x = 10,485.43

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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.