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Finding the Fourth Proportional to 8,572.84, 12,857.64 and 4,185.88

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Solution

The fourth proportional to 8,572.84, 12,857.64 and 4,185.88 is: 6,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.84 : 12,857.64 = 4,185.88 : x
  2. Step 2: Convert to fraction form
    8,572.84/12,857.64 = 4,185.88/x
  3. Step 3: Cross multiply
    8,572.84x = 12,857.64 × 4,185.88
  4. Step 4: Simplify right side
    8,572.84x = 53,820,538.12
  5. Step 5: Solve for x
    x = 53,820,538.12/8,572.84
  6. Step 6: Final answer
    x = 6,278.03

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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.