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Finding the Fourth Proportional to 10,810.30, 14,911.50 and 8,288.32

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Solution

The fourth proportional to 10,810.30, 14,911.50 and 8,288.32 is: 11,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.30 : 14,911.50 = 8,288.32 : x
  2. Step 2: Convert to fraction form
    10,810.30/14,911.50 = 8,288.32/x
  3. Step 3: Cross multiply
    10,810.30x = 14,911.50 × 8,288.32
  4. Step 4: Simplify right side
    10,810.30x = 123,591,283.68
  5. Step 5: Solve for x
    x = 123,591,283.68/10,810.30
  6. Step 6: Final answer
    x = 11,432.73

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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.