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Finding the Fourth Proportional to 8,123.60, 12,185.40 and 4,658.42

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Solution

The fourth proportional to 8,123.60, 12,185.40 and 4,658.42 is: 6,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.60 : 12,185.40 = 4,658.42 : x
  2. Step 2: Convert to fraction form
    8,123.60/12,185.40 = 4,658.42/x
  3. Step 3: Cross multiply
    8,123.60x = 12,185.40 × 4,658.42
  4. Step 4: Simplify right side
    8,123.60x = 56,764,711.07
  5. Step 5: Solve for x
    x = 56,764,711.07/8,123.60
  6. Step 6: Final answer
    x = 6,987.63

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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.