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Finding the Fourth Proportional to 10,364.14, 15,550.80 and 5,432.60

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Solution

The fourth proportional to 10,364.14, 15,550.80 and 5,432.60 is: 8,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.14 : 15,550.80 = 5,432.60 : x
  2. Step 2: Convert to fraction form
    10,364.14/15,550.80 = 5,432.60/x
  3. Step 3: Cross multiply
    10,364.14x = 15,550.80 × 5,432.60
  4. Step 4: Simplify right side
    10,364.14x = 84,481,276.08
  5. Step 5: Solve for x
    x = 84,481,276.08/10,364.14
  6. Step 6: Final answer
    x = 8,151.31

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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.