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Finding the Fourth Proportional to 7,693.06, 10,609.34 and 5,136.32

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Solution

The fourth proportional to 7,693.06, 10,609.34 and 5,136.32 is: 7,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.06 : 10,609.34 = 5,136.32 : x
  2. Step 2: Convert to fraction form
    7,693.06/10,609.34 = 5,136.32/x
  3. Step 3: Cross multiply
    7,693.06x = 10,609.34 × 5,136.32
  4. Step 4: Simplify right side
    7,693.06x = 54,492,965.23
  5. Step 5: Solve for x
    x = 54,492,965.23/7,693.06
  6. Step 6: Final answer
    x = 7,083.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.