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Finding the Fourth Proportional to 8,216.94, 12,288.81 and 7,298.46

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Solution

The fourth proportional to 8,216.94, 12,288.81 and 7,298.46 is: 10,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.94 : 12,288.81 = 7,298.46 : x
  2. Step 2: Convert to fraction form
    8,216.94/12,288.81 = 7,298.46/x
  3. Step 3: Cross multiply
    8,216.94x = 12,288.81 × 7,298.46
  4. Step 4: Simplify right side
    8,216.94x = 89,689,388.23
  5. Step 5: Solve for x
    x = 89,689,388.23/8,216.94
  6. Step 6: Final answer
    x = 10,915.18

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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.