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Finding the Fourth Proportional to 11,585.76, 17,379.24 and 3,266.40

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Solution

The fourth proportional to 11,585.76, 17,379.24 and 3,266.40 is: 4,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.76 : 17,379.24 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    11,585.76/17,379.24 = 3,266.40/x
  3. Step 3: Cross multiply
    11,585.76x = 17,379.24 × 3,266.40
  4. Step 4: Simplify right side
    11,585.76x = 56,767,549.54
  5. Step 5: Solve for x
    x = 56,767,549.54/11,585.76
  6. Step 6: Final answer
    x = 4,899.77

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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.