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Finding the Fourth Proportional to 10,377.84, 15,564.84 and 3,450.48

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Solution

The fourth proportional to 10,377.84, 15,564.84 and 3,450.48 is: 5,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.84 : 15,564.84 = 3,450.48 : x
  2. Step 2: Convert to fraction form
    10,377.84/15,564.84 = 3,450.48/x
  3. Step 3: Cross multiply
    10,377.84x = 15,564.84 × 3,450.48
  4. Step 4: Simplify right side
    10,377.84x = 53,706,169.12
  5. Step 5: Solve for x
    x = 53,706,169.12/10,377.84
  6. Step 6: Final answer
    x = 5,175.08

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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.