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Finding the Fourth Proportional to 8,500.22, 11,730.14 and 5,141.84

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Solution

The fourth proportional to 8,500.22, 11,730.14 and 5,141.84 is: 7,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.22 : 11,730.14 = 5,141.84 : x
  2. Step 2: Convert to fraction form
    8,500.22/11,730.14 = 5,141.84/x
  3. Step 3: Cross multiply
    8,500.22x = 11,730.14 × 5,141.84
  4. Step 4: Simplify right side
    8,500.22x = 60,314,503.06
  5. Step 5: Solve for x
    x = 60,314,503.06/8,500.22
  6. Step 6: Final answer
    x = 7,095.64

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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.