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Finding the Fourth Proportional to 28,656.44, 42,982.62 and 7,596.02

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Solution

The fourth proportional to 28,656.44, 42,982.62 and 7,596.02 is: 11,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656.44 : 42,982.62 = 7,596.02 : x
  2. Step 2: Convert to fraction form
    28,656.44/42,982.62 = 7,596.02/x
  3. Step 3: Cross multiply
    28,656.44x = 42,982.62 × 7,596.02
  4. Step 4: Simplify right side
    28,656.44x = 326,496,626.26
  5. Step 5: Solve for x
    x = 326,496,626.26/28,656.44
  6. Step 6: Final answer
    x = 11,393.48

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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.