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Finding the Fourth Proportional to 8,446.17, 11,656.65 and 6,346.65

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Solution

The fourth proportional to 8,446.17, 11,656.65 and 6,346.65 is: 8,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.17 : 11,656.65 = 6,346.65 : x
  2. Step 2: Convert to fraction form
    8,446.17/11,656.65 = 6,346.65/x
  3. Step 3: Cross multiply
    8,446.17x = 11,656.65 × 6,346.65
  4. Step 4: Simplify right side
    8,446.17x = 73,980,677.72
  5. Step 5: Solve for x
    x = 73,980,677.72/8,446.17
  6. Step 6: Final answer
    x = 8,759.08

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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.