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Finding the Fourth Proportional to 7,336.50, 11,004.75 and 3,232.50

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Solution

The fourth proportional to 7,336.50, 11,004.75 and 3,232.50 is: 4,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336.50 : 11,004.75 = 3,232.50 : x
  2. Step 2: Convert to fraction form
    7,336.50/11,004.75 = 3,232.50/x
  3. Step 3: Cross multiply
    7,336.50x = 11,004.75 × 3,232.50
  4. Step 4: Simplify right side
    7,336.50x = 35,572,854.38
  5. Step 5: Solve for x
    x = 35,572,854.38/7,336.50
  6. Step 6: Final answer
    x = 4,848.75

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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.