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Finding the Fourth Proportional to 8,172.54, 11,284.47 and 6,281.13

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Solution

The fourth proportional to 8,172.54, 11,284.47 and 6,281.13 is: 8,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.54 : 11,284.47 = 6,281.13 : x
  2. Step 2: Convert to fraction form
    8,172.54/11,284.47 = 6,281.13/x
  3. Step 3: Cross multiply
    8,172.54x = 11,284.47 × 6,281.13
  4. Step 4: Simplify right side
    8,172.54x = 70,879,223.05
  5. Step 5: Solve for x
    x = 70,879,223.05/8,172.54
  6. Step 6: Final answer
    x = 8,672.85

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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.