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Finding the Fourth Proportional to 11,463.99, 15,819.75 and 6,428.76

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Solution

The fourth proportional to 11,463.99, 15,819.75 and 6,428.76 is: 8,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.99 : 15,819.75 = 6,428.76 : x
  2. Step 2: Convert to fraction form
    11,463.99/15,819.75 = 6,428.76/x
  3. Step 3: Cross multiply
    11,463.99x = 15,819.75 × 6,428.76
  4. Step 4: Simplify right side
    11,463.99x = 101,701,376.01
  5. Step 5: Solve for x
    x = 101,701,376.01/11,463.99
  6. Step 6: Final answer
    x = 8,871.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.