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Finding the Fourth Proportional to 8,538.30, 12,807.45 and 4,601.70

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Solution

The fourth proportional to 8,538.30, 12,807.45 and 4,601.70 is: 6,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.30 : 12,807.45 = 4,601.70 : x
  2. Step 2: Convert to fraction form
    8,538.30/12,807.45 = 4,601.70/x
  3. Step 3: Cross multiply
    8,538.30x = 12,807.45 × 4,601.70
  4. Step 4: Simplify right side
    8,538.30x = 58,936,042.67
  5. Step 5: Solve for x
    x = 58,936,042.67/8,538.30
  6. Step 6: Final answer
    x = 6,902.55

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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.