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Finding the Fourth Proportional to 10,800.20, 14,901.36 and 8,564.60

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Solution

The fourth proportional to 10,800.20, 14,901.36 and 8,564.60 is: 11,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.20 : 14,901.36 = 8,564.60 : x
  2. Step 2: Convert to fraction form
    10,800.20/14,901.36 = 8,564.60/x
  3. Step 3: Cross multiply
    10,800.20x = 14,901.36 × 8,564.60
  4. Step 4: Simplify right side
    10,800.20x = 127,624,187.86
  5. Step 5: Solve for x
    x = 127,624,187.86/10,800.20
  6. Step 6: Final answer
    x = 11,816.84

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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.