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Finding the Fourth Proportional to 11,470.64, 15,820.58 and 8,295.84

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Solution

The fourth proportional to 11,470.64, 15,820.58 and 8,295.84 is: 11,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.64 : 15,820.58 = 8,295.84 : x
  2. Step 2: Convert to fraction form
    11,470.64/15,820.58 = 8,295.84/x
  3. Step 3: Cross multiply
    11,470.64x = 15,820.58 × 8,295.84
  4. Step 4: Simplify right side
    11,470.64x = 131,245,021.13
  5. Step 5: Solve for x
    x = 131,245,021.13/11,470.64
  6. Step 6: Final answer
    x = 11,441.83

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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.