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Finding the Fourth Proportional to 8,656.52, 12,984.84 and 4,758.80

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Solution

The fourth proportional to 8,656.52, 12,984.84 and 4,758.80 is: 7,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.52 : 12,984.84 = 4,758.80 : x
  2. Step 2: Convert to fraction form
    8,656.52/12,984.84 = 4,758.80/x
  3. Step 3: Cross multiply
    8,656.52x = 12,984.84 × 4,758.80
  4. Step 4: Simplify right side
    8,656.52x = 61,792,191.67
  5. Step 5: Solve for x
    x = 61,792,191.67/8,656.52
  6. Step 6: Final answer
    x = 7,138.23

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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.