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Finding the Fourth Proportional to 10,771.60, 14,864.08 and 6,296.60

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Solution

The fourth proportional to 10,771.60, 14,864.08 and 6,296.60 is: 8,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.60 : 14,864.08 = 6,296.60 : x
  2. Step 2: Convert to fraction form
    10,771.60/14,864.08 = 6,296.60/x
  3. Step 3: Cross multiply
    10,771.60x = 14,864.08 × 6,296.60
  4. Step 4: Simplify right side
    10,771.60x = 93,593,166.13
  5. Step 5: Solve for x
    x = 93,593,166.13/10,771.60
  6. Step 6: Final answer
    x = 8,688.88

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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.