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Finding the Fourth Proportional to 7,533.50, 11,304.19 and 5,470.55

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Solution

The fourth proportional to 7,533.50, 11,304.19 and 5,470.55 is: 8,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.50 : 11,304.19 = 5,470.55 : x
  2. Step 2: Convert to fraction form
    7,533.50/11,304.19 = 5,470.55/x
  3. Step 3: Cross multiply
    7,533.50x = 11,304.19 × 5,470.55
  4. Step 4: Simplify right side
    7,533.50x = 61,840,136.60
  5. Step 5: Solve for x
    x = 61,840,136.60/7,533.50
  6. Step 6: Final answer
    x = 8,208.69

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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.