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Finding the Fourth Proportional to 10,609.07, 14,641.04 and 5,893.25

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Solution

The fourth proportional to 10,609.07, 14,641.04 and 5,893.25 is: 8,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.07 : 14,641.04 = 5,893.25 : x
  2. Step 2: Convert to fraction form
    10,609.07/14,641.04 = 5,893.25/x
  3. Step 3: Cross multiply
    10,609.07x = 14,641.04 × 5,893.25
  4. Step 4: Simplify right side
    10,609.07x = 86,283,279.51
  5. Step 5: Solve for x
    x = 86,283,279.51/10,609.07
  6. Step 6: Final answer
    x = 8,132.97

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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.