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Finding the Fourth Proportional to 10,315.69, 15,473.84 and 2,524.50

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Solution

The fourth proportional to 10,315.69, 15,473.84 and 2,524.50 is: 3,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.69 : 15,473.84 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    10,315.69/15,473.84 = 2,524.50/x
  3. Step 3: Cross multiply
    10,315.69x = 15,473.84 × 2,524.50
  4. Step 4: Simplify right side
    10,315.69x = 39,063,696.46
  5. Step 5: Solve for x
    x = 39,063,696.46/10,315.69
  6. Step 6: Final answer
    x = 3,786.82

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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.