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Finding the Fourth Proportional to 7,506.72, 11,261.16 and 2,313

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Solution

The fourth proportional to 7,506.72, 11,261.16 and 2,313 is: 3,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.72 : 11,261.16 = 2,313 : x
  2. Step 2: Convert to fraction form
    7,506.72/11,261.16 = 2,313/x
  3. Step 3: Cross multiply
    7,506.72x = 11,261.16 × 2,313
  4. Step 4: Simplify right side
    7,506.72x = 26,047,063.08
  5. Step 5: Solve for x
    x = 26,047,063.08/7,506.72
  6. Step 6: Final answer
    x = 3,469.83

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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.