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Finding the Fourth Proportional to 8,101.93, 12,125.35 and 5,138.95

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Solution

The fourth proportional to 8,101.93, 12,125.35 and 5,138.95 is: 7,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.93 : 12,125.35 = 5,138.95 : x
  2. Step 2: Convert to fraction form
    8,101.93/12,125.35 = 5,138.95/x
  3. Step 3: Cross multiply
    8,101.93x = 12,125.35 × 5,138.95
  4. Step 4: Simplify right side
    8,101.93x = 62,311,567.38
  5. Step 5: Solve for x
    x = 62,311,567.38/8,101.93
  6. Step 6: Final answer
    x = 7,690.95

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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.