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Finding the Fourth Proportional to 10,328.25, 15,492.39 and 5,711.25

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Solution

The fourth proportional to 10,328.25, 15,492.39 and 5,711.25 is: 8,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.25 : 15,492.39 = 5,711.25 : x
  2. Step 2: Convert to fraction form
    10,328.25/15,492.39 = 5,711.25/x
  3. Step 3: Cross multiply
    10,328.25x = 15,492.39 × 5,711.25
  4. Step 4: Simplify right side
    10,328.25x = 88,480,912.39
  5. Step 5: Solve for x
    x = 88,480,912.39/10,328.25
  6. Step 6: Final answer
    x = 8,566.88

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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.