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Finding the Fourth Proportional to 10,053.50, 15,078.16 and 3,811.36

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Solution

The fourth proportional to 10,053.50, 15,078.16 and 3,811.36 is: 5,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.50 : 15,078.16 = 3,811.36 : x
  2. Step 2: Convert to fraction form
    10,053.50/15,078.16 = 3,811.36/x
  3. Step 3: Cross multiply
    10,053.50x = 15,078.16 × 3,811.36
  4. Step 4: Simplify right side
    10,053.50x = 57,468,295.90
  5. Step 5: Solve for x
    x = 57,468,295.90/10,053.50
  6. Step 6: Final answer
    x = 5,716.25

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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.