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Finding the Fourth Proportional to 10,493.84, 15,738.24 and 3,096.30

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Solution

The fourth proportional to 10,493.84, 15,738.24 and 3,096.30 is: 4,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.84 : 15,738.24 = 3,096.30 : x
  2. Step 2: Convert to fraction form
    10,493.84/15,738.24 = 3,096.30/x
  3. Step 3: Cross multiply
    10,493.84x = 15,738.24 × 3,096.30
  4. Step 4: Simplify right side
    10,493.84x = 48,730,312.51
  5. Step 5: Solve for x
    x = 48,730,312.51/10,493.84
  6. Step 6: Final answer
    x = 4,643.71

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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.