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Finding the Fourth Proportional to 10,129.60, 13,969.80 and 6,353.24

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Solution

The fourth proportional to 10,129.60, 13,969.80 and 6,353.24 is: 8,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.60 : 13,969.80 = 6,353.24 : x
  2. Step 2: Convert to fraction form
    10,129.60/13,969.80 = 6,353.24/x
  3. Step 3: Cross multiply
    10,129.60x = 13,969.80 × 6,353.24
  4. Step 4: Simplify right side
    10,129.60x = 88,753,492.15
  5. Step 5: Solve for x
    x = 88,753,492.15/10,129.60
  6. Step 6: Final answer
    x = 8,761.80

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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.