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Finding the Fourth Proportional to 11,606.70, 17,411.98 and 3,813.70

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Solution

The fourth proportional to 11,606.70, 17,411.98 and 3,813.70 is: 5,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.70 : 17,411.98 = 3,813.70 : x
  2. Step 2: Convert to fraction form
    11,606.70/17,411.98 = 3,813.70/x
  3. Step 3: Cross multiply
    11,606.70x = 17,411.98 × 3,813.70
  4. Step 4: Simplify right side
    11,606.70x = 66,404,068.13
  5. Step 5: Solve for x
    x = 66,404,068.13/11,606.70
  6. Step 6: Final answer
    x = 5,721.18

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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.