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Finding the Fourth Proportional to 8,367.98, 12,535.70 and 4,658.98

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Solution

The fourth proportional to 8,367.98, 12,535.70 and 4,658.98 is: 6,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.98 : 12,535.70 = 4,658.98 : x
  2. Step 2: Convert to fraction form
    8,367.98/12,535.70 = 4,658.98/x
  3. Step 3: Cross multiply
    8,367.98x = 12,535.70 × 4,658.98
  4. Step 4: Simplify right side
    8,367.98x = 58,403,575.59
  5. Step 5: Solve for x
    x = 58,403,575.59/8,367.98
  6. Step 6: Final answer
    x = 6,979.41

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