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Finding the Fourth Proportional to 11,411.69, 15,746.21 and 6,375.72

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Solution

The fourth proportional to 11,411.69, 15,746.21 and 6,375.72 is: 8,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.69 : 15,746.21 = 6,375.72 : x
  2. Step 2: Convert to fraction form
    11,411.69/15,746.21 = 6,375.72/x
  3. Step 3: Cross multiply
    11,411.69x = 15,746.21 × 6,375.72
  4. Step 4: Simplify right side
    11,411.69x = 100,393,426.02
  5. Step 5: Solve for x
    x = 100,393,426.02/11,411.69
  6. Step 6: Final answer
    x = 8,797.42

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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.