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Finding the Fourth Proportional to 10,323.87, 15,486.83 and 3,302.11

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Solution

The fourth proportional to 10,323.87, 15,486.83 and 3,302.11 is: 4,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.87 : 15,486.83 = 3,302.11 : x
  2. Step 2: Convert to fraction form
    10,323.87/15,486.83 = 3,302.11/x
  3. Step 3: Cross multiply
    10,323.87x = 15,486.83 × 3,302.11
  4. Step 4: Simplify right side
    10,323.87x = 51,139,231.44
  5. Step 5: Solve for x
    x = 51,139,231.44/10,323.87
  6. Step 6: Final answer
    x = 4,953.50

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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.