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Finding the Fourth Proportional to 10,586.99, 15,880.51 and 3,193.57

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Solution

The fourth proportional to 10,586.99, 15,880.51 and 3,193.57 is: 4,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.99 : 15,880.51 = 3,193.57 : x
  2. Step 2: Convert to fraction form
    10,586.99/15,880.51 = 3,193.57/x
  3. Step 3: Cross multiply
    10,586.99x = 15,880.51 × 3,193.57
  4. Step 4: Simplify right side
    10,586.99x = 50,715,424.95
  5. Step 5: Solve for x
    x = 50,715,424.95/10,586.99
  6. Step 6: Final answer
    x = 4,790.35

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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.