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Finding the Fourth Proportional to 7,047.15, 10,576.08 and 2,609.01

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Solution

The fourth proportional to 7,047.15, 10,576.08 and 2,609.01 is: 3,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.15 : 10,576.08 = 2,609.01 : x
  2. Step 2: Convert to fraction form
    7,047.15/10,576.08 = 2,609.01/x
  3. Step 3: Cross multiply
    7,047.15x = 10,576.08 × 2,609.01
  4. Step 4: Simplify right side
    7,047.15x = 27,593,085.44
  5. Step 5: Solve for x
    x = 27,593,085.44/7,047.15
  6. Step 6: Final answer
    x = 3,915.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.