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Finding the Fourth Proportional to 10,610.58, 14,634.30 and 7,422.81

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Solution

The fourth proportional to 10,610.58, 14,634.30 and 7,422.81 is: 10,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.58 : 14,634.30 = 7,422.81 : x
  2. Step 2: Convert to fraction form
    10,610.58/14,634.30 = 7,422.81/x
  3. Step 3: Cross multiply
    10,610.58x = 14,634.30 × 7,422.81
  4. Step 4: Simplify right side
    10,610.58x = 108,627,628.38
  5. Step 5: Solve for x
    x = 108,627,628.38/10,610.58
  6. Step 6: Final answer
    x = 10,237.67

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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.