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Finding the Fourth Proportional to 8,322.84, 12,476.25 and 2,772.32

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Solution

The fourth proportional to 8,322.84, 12,476.25 and 2,772.32 is: 4,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.84 : 12,476.25 = 2,772.32 : x
  2. Step 2: Convert to fraction form
    8,322.84/12,476.25 = 2,772.32/x
  3. Step 3: Cross multiply
    8,322.84x = 12,476.25 × 2,772.32
  4. Step 4: Simplify right side
    8,322.84x = 34,588,095.02
  5. Step 5: Solve for x
    x = 34,588,095.02/8,322.84
  6. Step 6: Final answer
    x = 4,155.80

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Why These Related Problems?

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