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Finding the Fourth Proportional to 10,040.27, 13,856.37 and 5,564.45

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Solution

The fourth proportional to 10,040.27, 13,856.37 and 5,564.45 is: 7,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.27 : 13,856.37 = 5,564.45 : x
  2. Step 2: Convert to fraction form
    10,040.27/13,856.37 = 5,564.45/x
  3. Step 3: Cross multiply
    10,040.27x = 13,856.37 × 5,564.45
  4. Step 4: Simplify right side
    10,040.27x = 77,103,050.22
  5. Step 5: Solve for x
    x = 77,103,050.22/10,040.27
  6. Step 6: Final answer
    x = 7,679.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.