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Finding the Fourth Proportional to 10,609.71, 14,641.02 and 5,893.89

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Solution

The fourth proportional to 10,609.71, 14,641.02 and 5,893.89 is: 8,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.71 : 14,641.02 = 5,893.89 : x
  2. Step 2: Convert to fraction form
    10,609.71/14,641.02 = 5,893.89/x
  3. Step 3: Cross multiply
    10,609.71x = 14,641.02 × 5,893.89
  4. Step 4: Simplify right side
    10,609.71x = 86,292,561.37
  5. Step 5: Solve for x
    x = 86,292,561.37/10,609.71
  6. Step 6: Final answer
    x = 8,133.36

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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.