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Finding the Fourth Proportional to 10,586.88, 15,880.80 and 3,661.92

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Solution

The fourth proportional to 10,586.88, 15,880.80 and 3,661.92 is: 5,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.88 : 15,880.80 = 3,661.92 : x
  2. Step 2: Convert to fraction form
    10,586.88/15,880.80 = 3,661.92/x
  3. Step 3: Cross multiply
    10,586.88x = 15,880.80 × 3,661.92
  4. Step 4: Simplify right side
    10,586.88x = 58,154,219.14
  5. Step 5: Solve for x
    x = 58,154,219.14/10,586.88
  6. Step 6: Final answer
    x = 5,493.05

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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.