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Finding the Fourth Proportional to 10,291.50, 15,440.94 and 4,048.05

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Solution

The fourth proportional to 10,291.50, 15,440.94 and 4,048.05 is: 6,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.50 : 15,440.94 = 4,048.05 : x
  2. Step 2: Convert to fraction form
    10,291.50/15,440.94 = 4,048.05/x
  3. Step 3: Cross multiply
    10,291.50x = 15,440.94 × 4,048.05
  4. Step 4: Simplify right side
    10,291.50x = 62,505,676.93
  5. Step 5: Solve for x
    x = 62,505,676.93/10,291.50
  6. Step 6: Final answer
    x = 6,073.53

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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.