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Finding the Fourth Proportional to 8,371.48, 11,548.28 and 5,681.76

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Solution

The fourth proportional to 8,371.48, 11,548.28 and 5,681.76 is: 7,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.48 : 11,548.28 = 5,681.76 : x
  2. Step 2: Convert to fraction form
    8,371.48/11,548.28 = 5,681.76/x
  3. Step 3: Cross multiply
    8,371.48x = 11,548.28 × 5,681.76
  4. Step 4: Simplify right side
    8,371.48x = 65,614,555.37
  5. Step 5: Solve for x
    x = 65,614,555.37/8,371.48
  6. Step 6: Final answer
    x = 7,837.87

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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.