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Finding the Fourth Proportional to 10,709.76, 14,782.08 and 6,520.32

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Solution

The fourth proportional to 10,709.76, 14,782.08 and 6,520.32 is: 8,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.76 : 14,782.08 = 6,520.32 : x
  2. Step 2: Convert to fraction form
    10,709.76/14,782.08 = 6,520.32/x
  3. Step 3: Cross multiply
    10,709.76x = 14,782.08 × 6,520.32
  4. Step 4: Simplify right side
    10,709.76x = 96,383,891.87
  5. Step 5: Solve for x
    x = 96,383,891.87/10,709.76
  6. Step 6: Final answer
    x = 8,999.63

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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.