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Finding the Fourth Proportional to 10,578.94, 15,869.76 and 3,555.94

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Solution

The fourth proportional to 10,578.94, 15,869.76 and 3,555.94 is: 5,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.94 : 15,869.76 = 3,555.94 : x
  2. Step 2: Convert to fraction form
    10,578.94/15,869.76 = 3,555.94/x
  3. Step 3: Cross multiply
    10,578.94x = 15,869.76 × 3,555.94
  4. Step 4: Simplify right side
    10,578.94x = 56,431,914.37
  5. Step 5: Solve for x
    x = 56,431,914.37/10,578.94
  6. Step 6: Final answer
    x = 5,334.36

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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.