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Finding the Fourth Proportional to 8,553.70, 12,830.55 and 7,660.90

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Solution

The fourth proportional to 8,553.70, 12,830.55 and 7,660.90 is: 11,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.70 : 12,830.55 = 7,660.90 : x
  2. Step 2: Convert to fraction form
    8,553.70/12,830.55 = 7,660.90/x
  3. Step 3: Cross multiply
    8,553.70x = 12,830.55 × 7,660.90
  4. Step 4: Simplify right side
    8,553.70x = 98,293,560.50
  5. Step 5: Solve for x
    x = 98,293,560.50/8,553.70
  6. Step 6: Final answer
    x = 11,491.35

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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.