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Finding the Fourth Proportional to 10,474.82, 14,455.92 and 5,876.03

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Solution

The fourth proportional to 10,474.82, 14,455.92 and 5,876.03 is: 8,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.82 : 14,455.92 = 5,876.03 : x
  2. Step 2: Convert to fraction form
    10,474.82/14,455.92 = 5,876.03/x
  3. Step 3: Cross multiply
    10,474.82x = 14,455.92 × 5,876.03
  4. Step 4: Simplify right side
    10,474.82x = 84,943,477.77
  5. Step 5: Solve for x
    x = 84,943,477.77/10,474.82
  6. Step 6: Final answer
    x = 8,109.30

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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.