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Finding the Fourth Proportional to 10,902.09, 15,040.39 and 7,911.30

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Solution

The fourth proportional to 10,902.09, 15,040.39 and 7,911.30 is: 10,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.09 : 15,040.39 = 7,911.30 : x
  2. Step 2: Convert to fraction form
    10,902.09/15,040.39 = 7,911.30/x
  3. Step 3: Cross multiply
    10,902.09x = 15,040.39 × 7,911.30
  4. Step 4: Simplify right side
    10,902.09x = 118,989,037.41
  5. Step 5: Solve for x
    x = 118,989,037.41/10,902.09
  6. Step 6: Final answer
    x = 10,914.33

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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.