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Finding the Fourth Proportional to 8,538.70, 12,807.59 and 3,276.23

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Solution

The fourth proportional to 8,538.70, 12,807.59 and 3,276.23 is: 4,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.70 : 12,807.59 = 3,276.23 : x
  2. Step 2: Convert to fraction form
    8,538.70/12,807.59 = 3,276.23/x
  3. Step 3: Cross multiply
    8,538.70x = 12,807.59 × 3,276.23
  4. Step 4: Simplify right side
    8,538.70x = 41,960,602.21
  5. Step 5: Solve for x
    x = 41,960,602.21/8,538.70
  6. Step 6: Final answer
    x = 4,914.17

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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.