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Finding the Fourth Proportional to 10,026.35, 13,826.89 and 7,479.73

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Solution

The fourth proportional to 10,026.35, 13,826.89 and 7,479.73 is: 10,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.35 : 13,826.89 = 7,479.73 : x
  2. Step 2: Convert to fraction form
    10,026.35/13,826.89 = 7,479.73/x
  3. Step 3: Cross multiply
    10,026.35x = 13,826.89 × 7,479.73
  4. Step 4: Simplify right side
    10,026.35x = 103,421,403.94
  5. Step 5: Solve for x
    x = 103,421,403.94/10,026.35
  6. Step 6: Final answer
    x = 10,314.96

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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.