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Finding the Fourth Proportional to 10,563.84, 15,850.08 and 5,632.20

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Solution

The fourth proportional to 10,563.84, 15,850.08 and 5,632.20 is: 8,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.84 : 15,850.08 = 5,632.20 : x
  2. Step 2: Convert to fraction form
    10,563.84/15,850.08 = 5,632.20/x
  3. Step 3: Cross multiply
    10,563.84x = 15,850.08 × 5,632.20
  4. Step 4: Simplify right side
    10,563.84x = 89,270,820.58
  5. Step 5: Solve for x
    x = 89,270,820.58/10,563.84
  6. Step 6: Final answer
    x = 8,450.60

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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.