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Finding the Fourth Proportional to 8,428, 12,647.67 and 5,053.54

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Solution

The fourth proportional to 8,428, 12,647.67 and 5,053.54 is: 7,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 12,647.67 = 5,053.54 : x
  2. Step 2: Convert to fraction form
    8,428/12,647.67 = 5,053.54/x
  3. Step 3: Cross multiply
    8,428x = 12,647.67 × 5,053.54
  4. Step 4: Simplify right side
    8,428x = 63,915,506.25
  5. Step 5: Solve for x
    x = 63,915,506.25/8,428
  6. Step 6: Final answer
    x = 7,583.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.