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Finding the Fourth Proportional to 10,038, 15,057.36 and 3,112.32

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Solution

The fourth proportional to 10,038, 15,057.36 and 3,112.32 is: 4,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 15,057.36 = 3,112.32 : x
  2. Step 2: Convert to fraction form
    10,038/15,057.36 = 3,112.32/x
  3. Step 3: Cross multiply
    10,038x = 15,057.36 × 3,112.32
  4. Step 4: Simplify right side
    10,038x = 46,863,322.68
  5. Step 5: Solve for x
    x = 46,863,322.68/10,038
  6. Step 6: Final answer
    x = 4,668.59

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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.