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Finding the Fourth Proportional to 6,371.48, 8,768.70 and 5,389.64

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Solution

The fourth proportional to 6,371.48, 8,768.70 and 5,389.64 is: 7,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.48 : 8,768.70 = 5,389.64 : x
  2. Step 2: Convert to fraction form
    6,371.48/8,768.70 = 5,389.64/x
  3. Step 3: Cross multiply
    6,371.48x = 8,768.70 × 5,389.64
  4. Step 4: Simplify right side
    6,371.48x = 47,260,136.27
  5. Step 5: Solve for x
    x = 47,260,136.27/6,371.48
  6. Step 6: Final answer
    x = 7,417.45

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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.