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Finding the Fourth Proportional to 10,423.58, 15,634.80 and 2,632.46

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Solution

The fourth proportional to 10,423.58, 15,634.80 and 2,632.46 is: 3,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.58 : 15,634.80 = 2,632.46 : x
  2. Step 2: Convert to fraction form
    10,423.58/15,634.80 = 2,632.46/x
  3. Step 3: Cross multiply
    10,423.58x = 15,634.80 × 2,632.46
  4. Step 4: Simplify right side
    10,423.58x = 41,157,907.43
  5. Step 5: Solve for x
    x = 41,157,907.43/10,423.58
  6. Step 6: Final answer
    x = 3,948.54

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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.