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Finding the Fourth Proportional to 8,584.52, 12,854.90 and 5,653.94

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Solution

The fourth proportional to 8,584.52, 12,854.90 and 5,653.94 is: 8,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.52 : 12,854.90 = 5,653.94 : x
  2. Step 2: Convert to fraction form
    8,584.52/12,854.90 = 5,653.94/x
  3. Step 3: Cross multiply
    8,584.52x = 12,854.90 × 5,653.94
  4. Step 4: Simplify right side
    8,584.52x = 72,680,783.17
  5. Step 5: Solve for x
    x = 72,680,783.17/8,584.52
  6. Step 6: Final answer
    x = 8,466.50

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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.