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Finding the Fourth Proportional to 11,400.58, 15,733.43 and 6,364.85

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Solution

The fourth proportional to 11,400.58, 15,733.43 and 6,364.85 is: 8,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.58 : 15,733.43 = 6,364.85 : x
  2. Step 2: Convert to fraction form
    11,400.58/15,733.43 = 6,364.85/x
  3. Step 3: Cross multiply
    11,400.58x = 15,733.43 × 6,364.85
  4. Step 4: Simplify right side
    11,400.58x = 100,140,835.31
  5. Step 5: Solve for x
    x = 100,140,835.31/11,400.58
  6. Step 6: Final answer
    x = 8,783.84

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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.