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Finding the Fourth Proportional to 10,999.20, 16,488 and 5,152.80

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Solution

The fourth proportional to 10,999.20, 16,488 and 5,152.80 is: 7,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.20 : 16,488 = 5,152.80 : x
  2. Step 2: Convert to fraction form
    10,999.20/16,488 = 5,152.80/x
  3. Step 3: Cross multiply
    10,999.20x = 16,488 × 5,152.80
  4. Step 4: Simplify right side
    10,999.20x = 84,959,366.40
  5. Step 5: Solve for x
    x = 84,959,366.40/10,999.20
  6. Step 6: Final answer
    x = 7,724.14

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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.