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Finding the Fourth Proportional to 7,507.92, 11,233.60 and 4,609.24

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Solution

The fourth proportional to 7,507.92, 11,233.60 and 4,609.24 is: 6,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.92 : 11,233.60 = 4,609.24 : x
  2. Step 2: Convert to fraction form
    7,507.92/11,233.60 = 4,609.24/x
  3. Step 3: Cross multiply
    7,507.92x = 11,233.60 × 4,609.24
  4. Step 4: Simplify right side
    7,507.92x = 51,778,358.46
  5. Step 5: Solve for x
    x = 51,778,358.46/7,507.92
  6. Step 6: Final answer
    x = 6,896.50

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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.