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Finding the Fourth Proportional to 7,627.10, 10,519.61 and 6,566.67

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Solution

The fourth proportional to 7,627.10, 10,519.61 and 6,566.67 is: 9,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.10 : 10,519.61 = 6,566.67 : x
  2. Step 2: Convert to fraction form
    7,627.10/10,519.61 = 6,566.67/x
  3. Step 3: Cross multiply
    7,627.10x = 10,519.61 × 6,566.67
  4. Step 4: Simplify right side
    7,627.10x = 69,078,774.57
  5. Step 5: Solve for x
    x = 69,078,774.57/7,627.10
  6. Step 6: Final answer
    x = 9,057.02

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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.