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Finding the Fourth Proportional to 10,586.58, 15,880.41 and 4,013.30

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Solution

The fourth proportional to 10,586.58, 15,880.41 and 4,013.30 is: 6,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.58 : 15,880.41 = 4,013.30 : x
  2. Step 2: Convert to fraction form
    10,586.58/15,880.41 = 4,013.30/x
  3. Step 3: Cross multiply
    10,586.58x = 15,880.41 × 4,013.30
  4. Step 4: Simplify right side
    10,586.58x = 63,732,770.05
  5. Step 5: Solve for x
    x = 63,732,770.05/10,586.58
  6. Step 6: Final answer
    x = 6,020.15

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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.