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Finding the Fourth Proportional to 11,470.32, 17,205.12 and 6,308.64

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Solution

The fourth proportional to 11,470.32, 17,205.12 and 6,308.64 is: 9,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.32 : 17,205.12 = 6,308.64 : x
  2. Step 2: Convert to fraction form
    11,470.32/17,205.12 = 6,308.64/x
  3. Step 3: Cross multiply
    11,470.32x = 17,205.12 × 6,308.64
  4. Step 4: Simplify right side
    11,470.32x = 108,540,908.24
  5. Step 5: Solve for x
    x = 108,540,908.24/11,470.32
  6. Step 6: Final answer
    x = 9,462.76

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