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Finding the Fourth Proportional to 8,522.96, 11,762.76 and 5,166.32

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Solution

The fourth proportional to 8,522.96, 11,762.76 and 5,166.32 is: 7,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.96 : 11,762.76 = 5,166.32 : x
  2. Step 2: Convert to fraction form
    8,522.96/11,762.76 = 5,166.32/x
  3. Step 3: Cross multiply
    8,522.96x = 11,762.76 × 5,166.32
  4. Step 4: Simplify right side
    8,522.96x = 60,770,182.24
  5. Step 5: Solve for x
    x = 60,770,182.24/8,522.96
  6. Step 6: Final answer
    x = 7,130.17

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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.