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Finding the Fourth Proportional to 8,507.16, 12,756.35 and 3,823.17

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Solution

The fourth proportional to 8,507.16, 12,756.35 and 3,823.17 is: 5,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.16 : 12,756.35 = 3,823.17 : x
  2. Step 2: Convert to fraction form
    8,507.16/12,756.35 = 3,823.17/x
  3. Step 3: Cross multiply
    8,507.16x = 12,756.35 × 3,823.17
  4. Step 4: Simplify right side
    8,507.16x = 48,769,656.35
  5. Step 5: Solve for x
    x = 48,769,656.35/8,507.16
  6. Step 6: Final answer
    x = 5,732.78

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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.