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Finding the Fourth Proportional to 8,460.62, 11,656.20 and 8,066.96

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Solution

The fourth proportional to 8,460.62, 11,656.20 and 8,066.96 is: 11,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.62 : 11,656.20 = 8,066.96 : x
  2. Step 2: Convert to fraction form
    8,460.62/11,656.20 = 8,066.96/x
  3. Step 3: Cross multiply
    8,460.62x = 11,656.20 × 8,066.96
  4. Step 4: Simplify right side
    8,460.62x = 94,030,099.15
  5. Step 5: Solve for x
    x = 94,030,099.15/8,460.62
  6. Step 6: Final answer
    x = 11,113.85

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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.