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Finding the Fourth Proportional to 10,037.52, 13,851.81 and 5,845.77

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Solution

The fourth proportional to 10,037.52, 13,851.81 and 5,845.77 is: 8,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.52 : 13,851.81 = 5,845.77 : x
  2. Step 2: Convert to fraction form
    10,037.52/13,851.81 = 5,845.77/x
  3. Step 3: Cross multiply
    10,037.52x = 13,851.81 × 5,845.77
  4. Step 4: Simplify right side
    10,037.52x = 80,974,495.34
  5. Step 5: Solve for x
    x = 80,974,495.34/10,037.52
  6. Step 6: Final answer
    x = 8,067.18

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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.