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Finding the Fourth Proportional to 10,288.63, 14,196.49 and 6,040.18

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Solution

The fourth proportional to 10,288.63, 14,196.49 and 6,040.18 is: 8,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.63 : 14,196.49 = 6,040.18 : x
  2. Step 2: Convert to fraction form
    10,288.63/14,196.49 = 6,040.18/x
  3. Step 3: Cross multiply
    10,288.63x = 14,196.49 × 6,040.18
  4. Step 4: Simplify right side
    10,288.63x = 85,749,354.97
  5. Step 5: Solve for x
    x = 85,749,354.97/10,288.63
  6. Step 6: Final answer
    x = 8,334.38

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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.