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Finding the Fourth Proportional to 10,575.26, 15,850.89 and 8,217.74

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Solution

The fourth proportional to 10,575.26, 15,850.89 and 8,217.74 is: 12,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.26 : 15,850.89 = 8,217.74 : x
  2. Step 2: Convert to fraction form
    10,575.26/15,850.89 = 8,217.74/x
  3. Step 3: Cross multiply
    10,575.26x = 15,850.89 × 8,217.74
  4. Step 4: Simplify right side
    10,575.26x = 130,258,492.79
  5. Step 5: Solve for x
    x = 130,258,492.79/10,575.26
  6. Step 6: Final answer
    x = 12,317.29

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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.