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Finding the Fourth Proportional to 10,301.94, 14,215.90 and 5,826.11

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Solution

The fourth proportional to 10,301.94, 14,215.90 and 5,826.11 is: 8,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.94 : 14,215.90 = 5,826.11 : x
  2. Step 2: Convert to fraction form
    10,301.94/14,215.90 = 5,826.11/x
  3. Step 3: Cross multiply
    10,301.94x = 14,215.90 × 5,826.11
  4. Step 4: Simplify right side
    10,301.94x = 82,823,397.15
  5. Step 5: Solve for x
    x = 82,823,397.15/10,301.94
  6. Step 6: Final answer
    x = 8,039.59

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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.