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Finding the Fourth Proportional to 11,438.64, 15,780.69 and 6,958.80

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Solution

The fourth proportional to 11,438.64, 15,780.69 and 6,958.80 is: 9,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.64 : 15,780.69 = 6,958.80 : x
  2. Step 2: Convert to fraction form
    11,438.64/15,780.69 = 6,958.80/x
  3. Step 3: Cross multiply
    11,438.64x = 15,780.69 × 6,958.80
  4. Step 4: Simplify right side
    11,438.64x = 109,814,665.57
  5. Step 5: Solve for x
    x = 109,814,665.57/11,438.64
  6. Step 6: Final answer
    x = 9,600.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.