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Finding the Fourth Proportional to 8,735.96, 12,052.14 and 5,197.88

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Solution

The fourth proportional to 8,735.96, 12,052.14 and 5,197.88 is: 7,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.96 : 12,052.14 = 5,197.88 : x
  2. Step 2: Convert to fraction form
    8,735.96/12,052.14 = 5,197.88/x
  3. Step 3: Cross multiply
    8,735.96x = 12,052.14 × 5,197.88
  4. Step 4: Simplify right side
    8,735.96x = 62,645,577.46
  5. Step 5: Solve for x
    x = 62,645,577.46/8,735.96
  6. Step 6: Final answer
    x = 7,171.00

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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.