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Finding the Fourth Proportional to 10,549.68, 15,823.50 and 4,310.25

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Solution

The fourth proportional to 10,549.68, 15,823.50 and 4,310.25 is: 6,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.68 : 15,823.50 = 4,310.25 : x
  2. Step 2: Convert to fraction form
    10,549.68/15,823.50 = 4,310.25/x
  3. Step 3: Cross multiply
    10,549.68x = 15,823.50 × 4,310.25
  4. Step 4: Simplify right side
    10,549.68x = 68,203,240.88
  5. Step 5: Solve for x
    x = 68,203,240.88/10,549.68
  6. Step 6: Final answer
    x = 6,464.96

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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.