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Finding the Fourth Proportional to 10,085.79, 13,918.14 and 5,836.26

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Solution

The fourth proportional to 10,085.79, 13,918.14 and 5,836.26 is: 8,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.79 : 13,918.14 = 5,836.26 : x
  2. Step 2: Convert to fraction form
    10,085.79/13,918.14 = 5,836.26/x
  3. Step 3: Cross multiply
    10,085.79x = 13,918.14 × 5,836.26
  4. Step 4: Simplify right side
    10,085.79x = 81,229,913.22
  5. Step 5: Solve for x
    x = 81,229,913.22/10,085.79
  6. Step 6: Final answer
    x = 8,053.90

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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.