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Finding the Fourth Proportional to 10,809, 14,916.42 and 5,841

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Solution

The fourth proportional to 10,809, 14,916.42 and 5,841 is: 8,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 14,916.42 = 5,841 : x
  2. Step 2: Convert to fraction form
    10,809/14,916.42 = 5,841/x
  3. Step 3: Cross multiply
    10,809x = 14,916.42 × 5,841
  4. Step 4: Simplify right side
    10,809x = 87,126,809.22
  5. Step 5: Solve for x
    x = 87,126,809.22/10,809
  6. Step 6: Final answer
    x = 8,060.58

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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.