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Finding the Fourth Proportional to 10,338.70, 14,267.73 and 5,862.64

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Solution

The fourth proportional to 10,338.70, 14,267.73 and 5,862.64 is: 8,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.70 : 14,267.73 = 5,862.64 : x
  2. Step 2: Convert to fraction form
    10,338.70/14,267.73 = 5,862.64/x
  3. Step 3: Cross multiply
    10,338.70x = 14,267.73 × 5,862.64
  4. Step 4: Simplify right side
    10,338.70x = 83,646,463.96
  5. Step 5: Solve for x
    x = 83,646,463.96/10,338.70
  6. Step 6: Final answer
    x = 8,090.62

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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.