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Finding the Fourth Proportional to 11,585.43, 17,379.06 and 4,564.96

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Solution

The fourth proportional to 11,585.43, 17,379.06 and 4,564.96 is: 6,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.43 : 17,379.06 = 4,564.96 : x
  2. Step 2: Convert to fraction form
    11,585.43/17,379.06 = 4,564.96/x
  3. Step 3: Cross multiply
    11,585.43x = 17,379.06 × 4,564.96
  4. Step 4: Simplify right side
    11,585.43x = 79,334,653.17
  5. Step 5: Solve for x
    x = 79,334,653.17/11,585.43
  6. Step 6: Final answer
    x = 6,847.80

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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.