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Finding the Fourth Proportional to 10,096.60, 13,932.60 and 6,319.60

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Solution

The fourth proportional to 10,096.60, 13,932.60 and 6,319.60 is: 8,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.60 : 13,932.60 = 6,319.60 : x
  2. Step 2: Convert to fraction form
    10,096.60/13,932.60 = 6,319.60/x
  3. Step 3: Cross multiply
    10,096.60x = 13,932.60 × 6,319.60
  4. Step 4: Simplify right side
    10,096.60x = 88,048,389.30
  5. Step 5: Solve for x
    x = 88,048,389.30/10,096.60
  6. Step 6: Final answer
    x = 8,720.60

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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.