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Finding the Fourth Proportional to 12,052.96, 18,073.04 and 6,507.52

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Solution

The fourth proportional to 12,052.96, 18,073.04 and 6,507.52 is: 9,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.96 : 18,073.04 = 6,507.52 : x
  2. Step 2: Convert to fraction form
    12,052.96/18,073.04 = 6,507.52/x
  3. Step 3: Cross multiply
    12,052.96x = 18,073.04 × 6,507.52
  4. Step 4: Simplify right side
    12,052.96x = 117,610,669.26
  5. Step 5: Solve for x
    x = 117,610,669.26/12,052.96
  6. Step 6: Final answer
    x = 9,757.82

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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.