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Finding the Fourth Proportional to 8,631.24, 12,943.62 and 4,011

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Solution

The fourth proportional to 8,631.24, 12,943.62 and 4,011 is: 6,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.24 : 12,943.62 = 4,011 : x
  2. Step 2: Convert to fraction form
    8,631.24/12,943.62 = 4,011/x
  3. Step 3: Cross multiply
    8,631.24x = 12,943.62 × 4,011
  4. Step 4: Simplify right side
    8,631.24x = 51,916,859.82
  5. Step 5: Solve for x
    x = 51,916,859.82/8,631.24
  6. Step 6: Final answer
    x = 6,014.99

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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.