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Finding the Fourth Proportional to 10,365.67, 14,305.26 and 5,889.43

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Solution

The fourth proportional to 10,365.67, 14,305.26 and 5,889.43 is: 8,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.67 : 14,305.26 = 5,889.43 : x
  2. Step 2: Convert to fraction form
    10,365.67/14,305.26 = 5,889.43/x
  3. Step 3: Cross multiply
    10,365.67x = 14,305.26 × 5,889.43
  4. Step 4: Simplify right side
    10,365.67x = 84,249,827.40
  5. Step 5: Solve for x
    x = 84,249,827.40/10,365.67
  6. Step 6: Final answer
    x = 8,127.77

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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.