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Finding the Fourth Proportional to 7,792.72, 11,684.76 and 2,595.76

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Solution

The fourth proportional to 7,792.72, 11,684.76 and 2,595.76 is: 3,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.72 : 11,684.76 = 2,595.76 : x
  2. Step 2: Convert to fraction form
    7,792.72/11,684.76 = 2,595.76/x
  3. Step 3: Cross multiply
    7,792.72x = 11,684.76 × 2,595.76
  4. Step 4: Simplify right side
    7,792.72x = 30,330,832.62
  5. Step 5: Solve for x
    x = 30,330,832.62/7,792.72
  6. Step 6: Final answer
    x = 3,892.20

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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.