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Finding the Fourth Proportional to 8,482.72, 12,710.04 and 3,285.76

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Solution

The fourth proportional to 8,482.72, 12,710.04 and 3,285.76 is: 4,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.72 : 12,710.04 = 3,285.76 : x
  2. Step 2: Convert to fraction form
    8,482.72/12,710.04 = 3,285.76/x
  3. Step 3: Cross multiply
    8,482.72x = 12,710.04 × 3,285.76
  4. Step 4: Simplify right side
    8,482.72x = 41,762,141.03
  5. Step 5: Solve for x
    x = 41,762,141.03/8,482.72
  6. Step 6: Final answer
    x = 4,923.20

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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.