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Finding the Fourth Proportional to 10,579.82, 15,866.51 and 3,182.31

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Solution

The fourth proportional to 10,579.82, 15,866.51 and 3,182.31 is: 4,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.82 : 15,866.51 = 3,182.31 : x
  2. Step 2: Convert to fraction form
    10,579.82/15,866.51 = 3,182.31/x
  3. Step 3: Cross multiply
    10,579.82x = 15,866.51 × 3,182.31
  4. Step 4: Simplify right side
    10,579.82x = 50,492,137.53
  5. Step 5: Solve for x
    x = 50,492,137.53/10,579.82
  6. Step 6: Final answer
    x = 4,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.