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Finding the Fourth Proportional to 10,515.72, 14,511.72 and 5,735.67

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Solution

The fourth proportional to 10,515.72, 14,511.72 and 5,735.67 is: 7,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.72 : 14,511.72 = 5,735.67 : x
  2. Step 2: Convert to fraction form
    10,515.72/14,511.72 = 5,735.67/x
  3. Step 3: Cross multiply
    10,515.72x = 14,511.72 × 5,735.67
  4. Step 4: Simplify right side
    10,515.72x = 83,234,437.05
  5. Step 5: Solve for x
    x = 83,234,437.05/10,515.72
  6. Step 6: Final answer
    x = 7,915.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.