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Finding the Fourth Proportional to 10,407.97, 15,614.26 and 4,858.28

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Solution

The fourth proportional to 10,407.97, 15,614.26 and 4,858.28 is: 7,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.97 : 15,614.26 = 4,858.28 : x
  2. Step 2: Convert to fraction form
    10,407.97/15,614.26 = 4,858.28/x
  3. Step 3: Cross multiply
    10,407.97x = 15,614.26 × 4,858.28
  4. Step 4: Simplify right side
    10,407.97x = 75,858,461.82
  5. Step 5: Solve for x
    x = 75,858,461.82/10,407.97
  6. Step 6: Final answer
    x = 7,288.50

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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.