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Finding the Fourth Proportional to 10,813.66, 16,220.40 and 7,309.60

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Solution

The fourth proportional to 10,813.66, 16,220.40 and 7,309.60 is: 10,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.66 : 16,220.40 = 7,309.60 : x
  2. Step 2: Convert to fraction form
    10,813.66/16,220.40 = 7,309.60/x
  3. Step 3: Cross multiply
    10,813.66x = 16,220.40 × 7,309.60
  4. Step 4: Simplify right side
    10,813.66x = 118,564,635.84
  5. Step 5: Solve for x
    x = 118,564,635.84/10,813.66
  6. Step 6: Final answer
    x = 10,964.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.