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Finding the Fourth Proportional to 27,411.45, 41,118.39 and 7,689.57

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Solution

The fourth proportional to 27,411.45, 41,118.39 and 7,689.57 is: 11,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.45 : 41,118.39 = 7,689.57 : x
  2. Step 2: Convert to fraction form
    27,411.45/41,118.39 = 7,689.57/x
  3. Step 3: Cross multiply
    27,411.45x = 41,118.39 × 7,689.57
  4. Step 4: Simplify right side
    27,411.45x = 316,182,646.68
  5. Step 5: Solve for x
    x = 316,182,646.68/27,411.45
  6. Step 6: Final answer
    x = 11,534.69

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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.