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Finding the Fourth Proportional to 10,891.84, 15,023.66 and 6,411.82

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Solution

The fourth proportional to 10,891.84, 15,023.66 and 6,411.82 is: 8,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.84 : 15,023.66 = 6,411.82 : x
  2. Step 2: Convert to fraction form
    10,891.84/15,023.66 = 6,411.82/x
  3. Step 3: Cross multiply
    10,891.84x = 15,023.66 × 6,411.82
  4. Step 4: Simplify right side
    10,891.84x = 96,329,003.66
  5. Step 5: Solve for x
    x = 96,329,003.66/10,891.84
  6. Step 6: Final answer
    x = 8,844.14

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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.