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Finding the Fourth Proportional to 8,282.96, 12,412.72 and 4,586.88

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Solution

The fourth proportional to 8,282.96, 12,412.72 and 4,586.88 is: 6,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.96 : 12,412.72 = 4,586.88 : x
  2. Step 2: Convert to fraction form
    8,282.96/12,412.72 = 4,586.88/x
  3. Step 3: Cross multiply
    8,282.96x = 12,412.72 × 4,586.88
  4. Step 4: Simplify right side
    8,282.96x = 56,935,657.11
  5. Step 5: Solve for x
    x = 56,935,657.11/8,282.96
  6. Step 6: Final answer
    x = 6,873.83

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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.