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Finding the Fourth Proportional to 8,371.46, 11,547.42 and 5,186.27

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Solution

The fourth proportional to 8,371.46, 11,547.42 and 5,186.27 is: 7,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.46 : 11,547.42 = 5,186.27 : x
  2. Step 2: Convert to fraction form
    8,371.46/11,547.42 = 5,186.27/x
  3. Step 3: Cross multiply
    8,371.46x = 11,547.42 × 5,186.27
  4. Step 4: Simplify right side
    8,371.46x = 59,888,037.92
  5. Step 5: Solve for x
    x = 59,888,037.92/8,371.46
  6. Step 6: Final answer
    x = 7,153.83

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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.