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Finding the Fourth Proportional to 10,053.40, 13,884.56 and 7,841.56

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Solution

The fourth proportional to 10,053.40, 13,884.56 and 7,841.56 is: 10,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.40 : 13,884.56 = 7,841.56 : x
  2. Step 2: Convert to fraction form
    10,053.40/13,884.56 = 7,841.56/x
  3. Step 3: Cross multiply
    10,053.40x = 13,884.56 × 7,841.56
  4. Step 4: Simplify right side
    10,053.40x = 108,876,610.31
  5. Step 5: Solve for x
    x = 108,876,610.31/10,053.40
  6. Step 6: Final answer
    x = 10,829.83

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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.