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Finding the Fourth Proportional to 10,080.45, 13,902.98 and 6,296.40

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Solution

The fourth proportional to 10,080.45, 13,902.98 and 6,296.40 is: 8,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.45 : 13,902.98 = 6,296.40 : x
  2. Step 2: Convert to fraction form
    10,080.45/13,902.98 = 6,296.40/x
  3. Step 3: Cross multiply
    10,080.45x = 13,902.98 × 6,296.40
  4. Step 4: Simplify right side
    10,080.45x = 87,538,691.79
  5. Step 5: Solve for x
    x = 87,538,691.79/10,080.45
  6. Step 6: Final answer
    x = 8,684.01

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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.