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Finding the Fourth Proportional to 7,774.76, 11,664.41 and 2,509.67

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Solution

The fourth proportional to 7,774.76, 11,664.41 and 2,509.67 is: 3,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.76 : 11,664.41 = 2,509.67 : x
  2. Step 2: Convert to fraction form
    7,774.76/11,664.41 = 2,509.67/x
  3. Step 3: Cross multiply
    7,774.76x = 11,664.41 × 2,509.67
  4. Step 4: Simplify right side
    7,774.76x = 29,273,748.97
  5. Step 5: Solve for x
    x = 29,273,748.97/7,774.76
  6. Step 6: Final answer
    x = 3,765.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.