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Finding the Fourth Proportional to 10,891.98, 15,030.23 and 6,414.86

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Solution

The fourth proportional to 10,891.98, 15,030.23 and 6,414.86 is: 8,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.98 : 15,030.23 = 6,414.86 : x
  2. Step 2: Convert to fraction form
    10,891.98/15,030.23 = 6,414.86/x
  3. Step 3: Cross multiply
    10,891.98x = 15,030.23 × 6,414.86
  4. Step 4: Simplify right side
    10,891.98x = 96,416,826.72
  5. Step 5: Solve for x
    x = 96,416,826.72/10,891.98
  6. Step 6: Final answer
    x = 8,852.09

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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.