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Finding the Fourth Proportional to 10,135, 15,197.22 and 4,583.56

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Solution

The fourth proportional to 10,135, 15,197.22 and 4,583.56 is: 6,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135 : 15,197.22 = 4,583.56 : x
  2. Step 2: Convert to fraction form
    10,135/15,197.22 = 4,583.56/x
  3. Step 3: Cross multiply
    10,135x = 15,197.22 × 4,583.56
  4. Step 4: Simplify right side
    10,135x = 69,657,369.70
  5. Step 5: Solve for x
    x = 69,657,369.70/10,135
  6. Step 6: Final answer
    x = 6,872.95

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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.