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Finding the Fourth Proportional to 8,154.40, 11,232.92 and 6,955.48

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Solution

The fourth proportional to 8,154.40, 11,232.92 and 6,955.48 is: 9,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.40 : 11,232.92 = 6,955.48 : x
  2. Step 2: Convert to fraction form
    8,154.40/11,232.92 = 6,955.48/x
  3. Step 3: Cross multiply
    8,154.40x = 11,232.92 × 6,955.48
  4. Step 4: Simplify right side
    8,154.40x = 78,130,350.40
  5. Step 5: Solve for x
    x = 78,130,350.40/8,154.40
  6. Step 6: Final answer
    x = 9,581.37

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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.