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Finding the Fourth Proportional to 12,008.51, 17,999.09 and 7,507.64

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Solution

The fourth proportional to 12,008.51, 17,999.09 and 7,507.64 is: 11,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.51 : 17,999.09 = 7,507.64 : x
  2. Step 2: Convert to fraction form
    12,008.51/17,999.09 = 7,507.64/x
  3. Step 3: Cross multiply
    12,008.51x = 17,999.09 × 7,507.64
  4. Step 4: Simplify right side
    12,008.51x = 135,130,601.30
  5. Step 5: Solve for x
    x = 135,130,601.30/12,008.51
  6. Step 6: Final answer
    x = 11,252.90

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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.