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Finding the Fourth Proportional to 8,566.42, 12,849.64 and 3,020.20

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Solution

The fourth proportional to 8,566.42, 12,849.64 and 3,020.20 is: 4,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.42 : 12,849.64 = 3,020.20 : x
  2. Step 2: Convert to fraction form
    8,566.42/12,849.64 = 3,020.20/x
  3. Step 3: Cross multiply
    8,566.42x = 12,849.64 × 3,020.20
  4. Step 4: Simplify right side
    8,566.42x = 38,808,482.73
  5. Step 5: Solve for x
    x = 38,808,482.73/8,566.42
  6. Step 6: Final answer
    x = 4,530.30

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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.