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Finding the Fourth Proportional to 11,696.84, 17,547.70 and 3,801.32

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Solution

The fourth proportional to 11,696.84, 17,547.70 and 3,801.32 is: 5,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.84 : 17,547.70 = 3,801.32 : x
  2. Step 2: Convert to fraction form
    11,696.84/17,547.70 = 3,801.32/x
  3. Step 3: Cross multiply
    11,696.84x = 17,547.70 × 3,801.32
  4. Step 4: Simplify right side
    11,696.84x = 66,704,422.96
  5. Step 5: Solve for x
    x = 66,704,422.96/11,696.84
  6. Step 6: Final answer
    x = 5,702.77

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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.