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Finding the Fourth Proportional to 8,787.54, 13,184.28 and 3,854.64

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Solution

The fourth proportional to 8,787.54, 13,184.28 and 3,854.64 is: 5,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,787.54 : 13,184.28 = 3,854.64 : x
  2. Step 2: Convert to fraction form
    8,787.54/13,184.28 = 3,854.64/x
  3. Step 3: Cross multiply
    8,787.54x = 13,184.28 × 3,854.64
  4. Step 4: Simplify right side
    8,787.54x = 50,820,653.06
  5. Step 5: Solve for x
    x = 50,820,653.06/8,787.54
  6. Step 6: Final answer
    x = 5,783.26

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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.