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Finding the Fourth Proportional to 10,289.80, 15,432.63 and 6,367.55

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Solution

The fourth proportional to 10,289.80, 15,432.63 and 6,367.55 is: 9,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.80 : 15,432.63 = 6,367.55 : x
  2. Step 2: Convert to fraction form
    10,289.80/15,432.63 = 6,367.55/x
  3. Step 3: Cross multiply
    10,289.80x = 15,432.63 × 6,367.55
  4. Step 4: Simplify right side
    10,289.80x = 98,267,942.12
  5. Step 5: Solve for x
    x = 98,267,942.12/10,289.80
  6. Step 6: Final answer
    x = 9,550.03

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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.