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Finding the Fourth Proportional to 11,411.88, 15,748.56 and 6,696.24

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Solution

The fourth proportional to 11,411.88, 15,748.56 and 6,696.24 is: 9,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.88 : 15,748.56 = 6,696.24 : x
  2. Step 2: Convert to fraction form
    11,411.88/15,748.56 = 6,696.24/x
  3. Step 3: Cross multiply
    11,411.88x = 15,748.56 × 6,696.24
  4. Step 4: Simplify right side
    11,411.88x = 105,456,137.41
  5. Step 5: Solve for x
    x = 105,456,137.41/11,411.88
  6. Step 6: Final answer
    x = 9,240.91

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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.