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Finding the Fourth Proportional to 10,805.47, 14,911.56 and 5,837.47

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Solution

The fourth proportional to 10,805.47, 14,911.56 and 5,837.47 is: 8,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.47 : 14,911.56 = 5,837.47 : x
  2. Step 2: Convert to fraction form
    10,805.47/14,911.56 = 5,837.47/x
  3. Step 3: Cross multiply
    10,805.47x = 14,911.56 × 5,837.47
  4. Step 4: Simplify right side
    10,805.47x = 87,045,784.15
  5. Step 5: Solve for x
    x = 87,045,784.15/10,805.47
  6. Step 6: Final answer
    x = 8,055.71

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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.