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Finding the Fourth Proportional to 8,124.67, 12,188.71 and 4,616.30

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Solution

The fourth proportional to 8,124.67, 12,188.71 and 4,616.30 is: 6,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.67 : 12,188.71 = 4,616.30 : x
  2. Step 2: Convert to fraction form
    8,124.67/12,188.71 = 4,616.30/x
  3. Step 3: Cross multiply
    8,124.67x = 12,188.71 × 4,616.30
  4. Step 4: Simplify right side
    8,124.67x = 56,266,778.22
  5. Step 5: Solve for x
    x = 56,266,778.22/8,124.67
  6. Step 6: Final answer
    x = 6,925.42

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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.