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Finding the Fourth Proportional to 10,365.78, 14,305.16 and 5,890.29

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Solution

The fourth proportional to 10,365.78, 14,305.16 and 5,890.29 is: 8,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.78 : 14,305.16 = 5,890.29 : x
  2. Step 2: Convert to fraction form
    10,365.78/14,305.16 = 5,890.29/x
  3. Step 3: Cross multiply
    10,365.78x = 14,305.16 × 5,890.29
  4. Step 4: Simplify right side
    10,365.78x = 84,261,555.62
  5. Step 5: Solve for x
    x = 84,261,555.62/10,365.78
  6. Step 6: Final answer
    x = 8,128.82

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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.