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Finding the Fourth Proportional to 7,683.52, 11,517.05 and 5,485.58

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Solution

The fourth proportional to 7,683.52, 11,517.05 and 5,485.58 is: 8,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.52 : 11,517.05 = 5,485.58 : x
  2. Step 2: Convert to fraction form
    7,683.52/11,517.05 = 5,485.58/x
  3. Step 3: Cross multiply
    7,683.52x = 11,517.05 × 5,485.58
  4. Step 4: Simplify right side
    7,683.52x = 63,177,741.65
  5. Step 5: Solve for x
    x = 63,177,741.65/7,683.52
  6. Step 6: Final answer
    x = 8,222.50

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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.