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Finding the Fourth Proportional to 7,496.21, 10,344.49 and 4,138.95

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Solution

The fourth proportional to 7,496.21, 10,344.49 and 4,138.95 is: 5,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.21 : 10,344.49 = 4,138.95 : x
  2. Step 2: Convert to fraction form
    7,496.21/10,344.49 = 4,138.95/x
  3. Step 3: Cross multiply
    7,496.21x = 10,344.49 × 4,138.95
  4. Step 4: Simplify right side
    7,496.21x = 42,815,326.89
  5. Step 5: Solve for x
    x = 42,815,326.89/7,496.21
  6. Step 6: Final answer
    x = 5,711.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.