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Finding the Fourth Proportional to 8,477.76, 12,707.42 and 7,241.43

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Solution

The fourth proportional to 8,477.76, 12,707.42 and 7,241.43 is: 10,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.76 : 12,707.42 = 7,241.43 : x
  2. Step 2: Convert to fraction form
    8,477.76/12,707.42 = 7,241.43/x
  3. Step 3: Cross multiply
    8,477.76x = 12,707.42 × 7,241.43
  4. Step 4: Simplify right side
    8,477.76x = 92,019,903.86
  5. Step 5: Solve for x
    x = 92,019,903.86/8,477.76
  6. Step 6: Final answer
    x = 10,854.27

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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.