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Finding the Fourth Proportional to 8,232.97, 12,349.28 and 3,303.71

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Solution

The fourth proportional to 8,232.97, 12,349.28 and 3,303.71 is: 4,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.97 : 12,349.28 = 3,303.71 : x
  2. Step 2: Convert to fraction form
    8,232.97/12,349.28 = 3,303.71/x
  3. Step 3: Cross multiply
    8,232.97x = 12,349.28 × 3,303.71
  4. Step 4: Simplify right side
    8,232.97x = 40,798,478.96
  5. Step 5: Solve for x
    x = 40,798,478.96/8,232.97
  6. Step 6: Final answer
    x = 4,955.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.