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Finding the Fourth Proportional to 10,400.45, 15,590.34 and 8,989.43

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Solution

The fourth proportional to 10,400.45, 15,590.34 and 8,989.43 is: 13,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.45 : 15,590.34 = 8,989.43 : x
  2. Step 2: Convert to fraction form
    10,400.45/15,590.34 = 8,989.43/x
  3. Step 3: Cross multiply
    10,400.45x = 15,590.34 × 8,989.43
  4. Step 4: Simplify right side
    10,400.45x = 140,148,192.15
  5. Step 5: Solve for x
    x = 140,148,192.15/10,400.45
  6. Step 6: Final answer
    x = 13,475.21

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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.