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Finding the Fourth Proportional to 8,446.53, 11,656.53 and 5,609.00

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Solution

The fourth proportional to 8,446.53, 11,656.53 and 5,609.00 is: 7,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.53 : 11,656.53 = 5,609.00 : x
  2. Step 2: Convert to fraction form
    8,446.53/11,656.53 = 5,609.00/x
  3. Step 3: Cross multiply
    8,446.53x = 11,656.53 × 5,609.00
  4. Step 4: Simplify right side
    8,446.53x = 65,381,456.12
  5. Step 5: Solve for x
    x = 65,381,456.12/8,446.53
  6. Step 6: Final answer
    x = 7,740.63

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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.