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Finding the Fourth Proportional to 8,482.08, 12,723.12 and 4,977.42

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Solution

The fourth proportional to 8,482.08, 12,723.12 and 4,977.42 is: 7,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.08 : 12,723.12 = 4,977.42 : x
  2. Step 2: Convert to fraction form
    8,482.08/12,723.12 = 4,977.42/x
  3. Step 3: Cross multiply
    8,482.08x = 12,723.12 × 4,977.42
  4. Step 4: Simplify right side
    8,482.08x = 63,328,311.95
  5. Step 5: Solve for x
    x = 63,328,311.95/8,482.08
  6. Step 6: Final answer
    x = 7,466.13

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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.